Relevant bibliographies by topics / Nonsmooth critical point theory

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Nonsmooth critical point theory'

Author: Grafiati
Published: 4 June 2021
Last updated: 11 March 2023

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Journal articles on the topic "Nonsmooth critical point theory"

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Degiovanni, Marco. "Nonsmooth critical point theory and applications." Nonlinear Analysis: Theory, Methods & Applications 30, no. 1 (December 1997): 89–99. http://dx.doi.org/10.1016/s0362-546x(97)00259-9.

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Liu, Jiaquan, and Yuxia Guo. "Critical point theory for nonsmooth functionals." Nonlinear Analysis: Theory, Methods & Applications 66, no. 12 (June 2007): 2731–41. http://dx.doi.org/10.1016/j.na.2006.04.003.

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Degiovanni, Marco, and Marco Marzocchi. "A critical point theory for nonsmooth functional." Annali di Matematica Pura ed Applicata 167, no. 1 (December 1994): 73–100. http://dx.doi.org/10.1007/bf01760329.

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Campa, Ines, and Marco Degiovanni. "Subdifferential Calculus and Nonsmooth Critical Point Theory." SIAM Journal on Optimization 10, no. 4 (January 2000): 1020–48. http://dx.doi.org/10.1137/s1052623499353169.

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Livrea, Roberto, and Giovanni Molica Bisci. "Some remarks on nonsmooth critical point theory." Journal of Global Optimization 37, no. 2 (August 5, 2006): 245–61. http://dx.doi.org/10.1007/s10898-006-9047-7.

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Kourogenis, Nikolaos C., and Nikolaos S. Papageorgiou. "Nonsmooth critical point theory and nonlinear elliptic equations at resonance." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 69, no. 2 (October 2000): 245–71. http://dx.doi.org/10.1017/s1446788700002202.

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AbstractIn this paper we complete two tasks. First we extend the nonsmooth critical point theory of Chang to the case where the energy functional satisfies only the weaker nonsmooth Cerami condition and we also relax the boundary conditions. Then we study semilinear and quasilinear equations (involving the p-Laplacian). Using a variational approach we establish the existence of one and of multiple solutions. In simple existence theorems, we allow the right hand side to be discontinuous. In that case in order to have an existence theory, we pass to a multivalued approximation of the original problem by, roughly speaking, filling in the gaps at the discontinuity points.
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Kourogenis, Nikolaos C., and Nikolaos S. Papageorgiou. "Nonsmooth critical point theory and nonlinear elliptic equations at resonance." Kodai Mathematical Journal 23, no. 1 (2000): 108–35. http://dx.doi.org/10.2996/kmj/1138044160.

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Corvellec, J. N., V. V. Motreanu, and C. Saccon. "Doubly resonant semilinear elliptic problems via nonsmooth critical point theory." Journal of Differential Equations 248, no. 8 (April 2010): 2064–91. http://dx.doi.org/10.1016/j.jde.2009.11.005.

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Bartels, Sven G., Ludwig Kuntz, and Stefan Scholtes. "Continuous selections of linear functions and nonsmooth critical point theory." Nonlinear Analysis: Theory, Methods & Applications 24, no. 3 (February 1995): 385–407. http://dx.doi.org/10.1016/0362-546x(95)91645-6.

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Costea, Nicuşor, Mihály Csirik, and Csaba Varga. "Linking-Type Results in Nonsmooth Critical Point Theory and Applications." Set-Valued and Variational Analysis 25, no. 2 (August 18, 2016): 333–56. http://dx.doi.org/10.1007/s11228-016-0383-6.

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Dissertations / Theses on the topic "Nonsmooth critical point theory"

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Milbers, Zoja. "Eigenvalue Problem for the 1-Laplace Operator." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2009. http://nbn-resolving.de/urn:nbn:de:bsz:14-ds-1238150433158-43544.

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We consider the eigenvalue problem associated to the 1-Laplace operator. We define higher eigensolutions by means of weak slope and establish existence of a sequence of eigensolutions by using nonsmooth critical point theory. In addition, we deduce a new necessary condition for the first eigenvalue of the 1-Laplace operator by means of inner variations
Wir betrachten das zum 1-Laplace-Operator gehörige Eigenwertproblem. Wir definieren höhere Eigenlösungen mittels weak slope und weisen die Existenz einer Folge von Eigenlösungen nach, indem wir die nichtglatte Theorie kritischer Punkte anwenden. Zusätzlich leiten wir eine neue notwendige Bedingung für den ersten Eigenwert des 1-Laplace-Operators mittels innerer Variationen her
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Rivetti, Sabrina. "Bounded variation solutions of capillarity-type equations." Doctoral thesis, Università degli studi di Trieste, 2014. http://hdl.handle.net/10077/10161.

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2012/2013
We investigate by different techniques, the solvability of a class of capillarity-type problems, in a bounded N-dimensional domain. Since our approach is variational, the natural context where this problem has to be settled is the space of bounded variation functions. Solutions of our equation are defined as subcritical points of the associated action functional.
We first introduce a lower and upper solution method in the space of bounded variation functions. We prove the existence of solutions in the case where the lower solution is smaller than the upper solution. A solution, bracketed by the given lower and upper solutions, is obtained as a local minimizer of the associated functional without any assumption on the boundedness of the right-hand side of the equation. In this context we also prove order stability results for the minimum and the maximum solution lying between the given lower and upper solutions. Next we develop an asymmetric version of the Poincaré inequality in the space of bounded variation functions. Several properties of the curve C are then derived and basically relying on these results, we discuss the solvability of the capillarity-type problem, assuming a suitable control on the interaction of the supremum and the infimum of the function at the right-hand side with the curve C. Non-existence and multiplicity results are investigated as well. The one-dimensional case, which sometimes presents a different behaviour, is also discussed. In particular, we provide an existence result which recovers the case of non-ordered lower and upper solutions.
XXV Ciclo
1985
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Littig, Samuel. "The Eigenvalue Problem of the 1-Laplace Operator." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-161044.

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As a first aspect the thesis treats existence results of the perturbed eigenvalue problem of the 1-Laplace operator. This is done with the aid of a quite general critical point theory results with the genus as topological index. Moreover we show that the eigenvalues of the perturbed 1-Laplace operator converge to the eigenvalues of the unperturebed 1-Laplace operator when the perturbation goes to zero. As a second aspect we treat the eigenvalue problems of the vectorial 1-Laplace operator and the symmetrized 1-Laplace operator. And as a third aspect certain related parabolic problems are considered.
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Hassell, Sweatman Catherine Zoe Wollaston. "Critical point theory applied to bundles." Thesis, University of Edinburgh, 1993. http://hdl.handle.net/1842/10947.

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This study was motivated by the observation that most smooth bundles do not admit a smooth function that is Morse when restricted to every fibre. The complexity c of a critical point of a smooth map is measured by an appropriate codimension of its germ. The subset of smooth maps from a bundle to a manifold with complexity on fibres not exceeding c is studied. Bounds for c are established such that this subset is open and dense in the set of all smooth maps, where sets of smooth maps are always given the Whitney C∞ topology. The bounds are calculated in terms of the dimensions of the base space, the fibre and the manifold into which the bundle is mapped and are proved using the theory of finite germs and a suitable adaptation of the Thom Transversality Theorem. Recent work of Vasil'ev is used to investigate real-valued functions on compact principal S1-bundles. The existence is established of a function with complexity on fibres no more than roughly half of the minimum value for c for the open and dense subsets mentioned above. For certain bundles with fibre of dimension one, the set of smooth real-valued functions that are Morse when restricted to every fibre is shown to be C0 dense but not, in general, C1 dense. For all n-sphere bundles over the circle the set is shown to be C0 dense. The homotopy type of the space of smooth Morse functions on the circle is derived. Arnold's determination of the fundamental group of the generalised Morse functions on the circle is included.
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Maad, Sara. "Critical point theory with applications to semilinear problems without compactness." Doctoral thesis, Uppsala : Matematiska institutionen, Univ. [distributör], 2002. http://publications.uu.se/theses/91-506-1557-2/.

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Bruin, Jan Adrianus Nathan. "Transport studies of the itinerant metamagnet Sr₃Ru₂O₇ near its quantum critical point." Thesis, University of St Andrews, 2012. http://hdl.handle.net/10023/3656.

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Strongly correlated metals are known to give rise to a variety of exotic states. In particular, if a system is tuned towards a quantum critical point, new ordered phases may arise. Sr₃Ru₂O₇ is a quasi-two dimensional metal in which field-tuned quantum criticality has been observed. In very pure single crystals of this material, a phase with unusual transport properties forms in the vicinity of its quantum critical point. Upon the application of a small in-plane field, electrical resistivity becomes anisotropic, a phenomenon which has led to the naming of this phase as an `electron nematic'. The subject of this thesis is a study of the electrical transport in high purity crystals of Sr₃Ru₂O₇. We modified an adiabatic demagnetisation refrigerator to create the conditions by which the entire temperature-field phase diagram can be explored. In particular, this allowed us to access the crossover between the low-temperature Fermi liquid and the quantum critical region. We also installed a triple axis `vector magnet' with which the applied magnetic field vector can be continuously rotated within the anisotropic phase. We conclude that the low- and high-field Fermi liquid properties have a complex dependence on magnetic field and temperature, but that a simple multiple band model can account for some of these effects, and reconcile the measured specific heat, dHvA quasiparticle masses and transport co-efficients. At high temperatures, we observe similarities between the apparent resistive scattering rate at critical tuning and those observed in other quantum critical systems and in elemental metals. Finally, the anisotropic phase measurements confirm previous reports and demonstrate behaviour consistent with an Ising-nematic, with the anisotropy aligned along either of the principal crystal axes. Our observations are consistent with the presence of a large number of domains within the anisotropic phase, and conclude that scattering from domain walls is likely to contribute strongly to the large measured anisotropy.
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BERNINI, FEDERICO. "Different approaches in Critical Point Theory for entire Schrödinger equations and one for curl-curl problems." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2022. http://hdl.handle.net/10281/378952.

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Scopo di questa tesi è mostrare i risultati ottenuti per tre equazioni differenziali alle derivate parziali ellittiche di tipo Schrödinger. Queste equazioni, sebbene condividano la particolarità di essere definite in tutto lo spazio, sono state affrontate con diversi metodi, e per ognuna è stato fornito un risultato di esistenza di soluzioni. Rimarchiamo che l'ultima equazione ha un forte legame con le equazioni di Maxwell. Problema 1) Consideriamo un'equazione di tipo Schrödinger, con potenziale di tipo convolutivo ed una nonlinearità perturbata e pesata derivante dalla fisica quantistica con gravitazione Newtoniana. Se consideriamo questa equazione definita in tutto lo spazio R2, otterremo un potenziale di tipo logaritmico, che rende l'analisi più delicata, in quanto il funzionale associato non è ben definito. Va dunque introdotto un opportuno setting variazionale per dimostrare la buona positura del problema. Successivamente, per gestire la perturbazione utilizziamo la tecnica perturbativa della teoria dei punti critici. Assumendo opportune ipotesi sulla funzione peso, si dimostra l'esistenza di soluzioni locali e globali. Problema 2) La seconda equazione è un'equazione di tipo Choquard governata da un operatore semirelativistico di Schrödinger, dove il potenziale ha una parte singolare ed è presente una nonlinearità generale, definita in tutto lo spazio RN. Grazie alla rappresentazione mediante trasformata di Fourier dell'operatore semirelativistico, si può dimostrare che la norma generata dalla forma quadratica associata al problema è equivalente alla norma standard. Grazie ad un risultato astratto, si prova prima l'esistenza di una successione di Cerami e successivamente la sua limitatezza. Adattando un argomento di decomposizione per successioni di Palais-Smale, si dimostra poi la convergenza di questa successione ad un punto critico non banale. Infine, viene fornita una quasi-caratterizzazione per l'esistenza di soluzioni di tipo ground-state (i.e. soluzioni corrispondenti al livello di energia minima del sistema). Per queste soluzioni, è fornito anche un risultato di compattezza rispetto al termine singolare. Problema 3) Viene fornito un Teorema astratto di tipo linking infinito-dimensionale che permette lo studio di problemi fortemente indefiniti (cioè il punto origine appartiene ad un gap spettrale dell'operatore) e con nonlinearità generali di segno variabile. Come applicazione, questo Teorema viene applicato ad un'equazione di tipo Schrödinger fortemente indefinita con potenziale singolare e nonlinearità a segno variabile, definita in tutto lo spazio RN. Per questa equazione viene dimostrata l'esistenza di una soluzione non banale. Sfruttando un risultato di equivalenza, viene fornita l'esistenza di una soluzione nonbanale anche per un'equazione di tipo curl-curl: questo tipo di equazioni sono strettamente legate alle equazioni di Maxwell.
The purpose of this thesis is to show the results obtained for three Schrödinger type elliptic partial differential equations. These equations, although sharing the feature of being entire, i.e. defined in the whole the space, have been approached with different methods, and for each a result of the existence of solutions has been provided. We emphasize that the last equation has a strong connection with Maxwell's equations. Problem 1) Let us consider a Schrödinger type equation, with convolutive potential and a perturbed and weighted nonlinearity copuling from quantum physics with Newtonian gravitation. If we consider this equation defined in all the space R2, we will obtain a logarithmic type potential, which makes the analysis more delicate, since the associated functional is not well defined. Therefore, a suitable variational setting must be introduced to show the well-posedness of the problem. Next, to manage the perturbation we use the perturbation technique of the critical point theory. Assuming suitable hypotheses on the weight function, the existence of local and global solutions is proved. Problem 2) The second equation is a Choquard type equation driven by a semirelativistic Schrödinger operator, defined in the whole space RN, where the potential has a singular part and a general nonlinearity is considered. Using the Fourier transform representation of the semirelativistic operator, it can be shown that the norm generated by the quadratic form associated with the problem is equivalent to the standard one. Thanks to an abstract result, we first prove the existence of a Cerami-sequence and then its boundedness. By adapting a Palais-Smale-sequence decomposition argument, the strong convergence of this sequence to a non-trivial critical point is then showed. Finally, an almost-characterization criterion is provided for the existence of ground-state solutions (i.e. solutions corresponding to the minimum energy level of the system). For these solutions, a compactness result is also given with respect to the singular term. Problem 3) An abstract infinite-dimensional linking-type Theorem is provided, which allows the study of strongly indefinite problems (i.e. the origin belongs to a spectral gap of the operator) and with general sign-changing nonlinearities. As an application, this Theorem is applied to a strongly indefinite Schrödinger equation with singular potential and sign-changing nonlinearity, defined in the whole space RN. For this equation the existence of a non-trivial solution is proved. By exploiting an equivalence result, the existence of a non-trivial solution is also provided for a curl-curl equation: this type of equations are closely related to Maxwell's equations.
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Enniss, Harris. "A Refined Saddle Point Theorem and Applications." Scholarship @ Claremont, 2012. https://scholarship.claremont.edu/hmc_theses/33.

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Under adequate conditions on $g$, we show the density in $L^2((0,\pi),(0,2\pi))$ of the set of functions $p$ for which \begin{equation*} u_{tt}(x,t)-u_{xx}(x,t)= g(u(x,t)) + p(x,t) \end{equation*} has a weak solution subject to \begin{equation*} \begin{aligned} u(x,t)&=u(x,t+2\pi)\\ u(0,t)&=u(\pi,t)=0. \end{aligned} \end{equation*} To achieve this, we prove a Saddle Point Principle by means of a refined variant of the deformation lemma of Rabinowitz. Generally, inf-sup techniques allow the characterization of critical values by taking the minimum of the maximae on some particular class of sets. In this version of the Saddle Point Principle, we introduce sufficient conditions for the existence of a saddle-structure which is not restricted to finite-dimensional subspaces.
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Born, Stefan [Verfasser]. "Critical point theory for symmetries with fixed points = Theorie kritischer Punkte für Symmetrien mit Fixpunkten [[Elektronische Ressource]] / Stefan Born." Gießen : Universitätsbibliothek, 2011. http://d-nb.info/1063111242/34.

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Oinas, J. (Janne). "The degree theory and the index of a critical point for mappings of the type (S+)." Doctoral thesis, University of Oulu, 2007. http://urn.fi/urn:isbn:9789514284878.

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Abstract The dissertation considers a degree theory and the index of a critical point of demi-continuous, everywhere defined mappings of the monotone type. A topological degree is derived for mappings from a Banach space to its dual space. The mappings satisfy the condition (S+), and it is shown that the derived degree has the classical properties of a degree function. A formula for the calculation of the index of a critical point of a mapping A : X→X* satisfying the condition (S+) is derived without the separability of X and the boundedness of A. For the calculation of the index, we need an everywhere defined linear mapping A' : X→X* that approximates A in a certain set. As in the earlier results, A' is quasi-monotone, but our situation differs from the earlier results because A' does not have to be the Frechet or Gateaux derivative of A at the critical point. The theorem for the calculation of the index requires a construction of a compact operator T = (A' + Γ)-1Γ with the aid of linear mappings Γ : X→X and A'. In earlier results, Γ is compact, but here it need only be quasi-monotone. Two counter-examples show that certain assumptions are essential for the calculation of the index of a critical point.
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Books on the topic "Nonsmooth critical point theory"

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Socrates, Papageorgiou Nikolaos, ed. Nonsmooth critical point theory and nonlinear boundary value problems. Boca Raton, Fla: CRC Press, 2005.

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Topological aspects of nonsmooth optimization: Ludwig Kuntz. Hamburg: Lit, 1996.

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Schechter, Martin. Critical Point Theory. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45603-0.

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service), SpringerLink (Online, ed. Sign-Changing Critical Point Theory. Boston, MA: Springer-Verlag US, 2008.

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Mazzucchelli, Marco. Critical Point Theory for Lagrangian Systems. Basel: Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0163-8.

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Mawhin, Jean, and Michel Willem. Critical Point Theory and Hamiltonian Systems. New York, NY: Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4757-2061-7.

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Schechter, Martin. Linking Methods in Critical Point Theory. Boston, MA: Birkhäuser Boston, 1999. http://dx.doi.org/10.1007/978-1-4612-1596-7.

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Palais, Richard S., and Chuu-liang Terng. Critical Point Theory and Submanifold Geometry. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0087442.

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Schechter, Martin. Minimax Systems and Critical Point Theory. Boston: Birkhäuser Boston, 2009. http://dx.doi.org/10.1007/978-0-8176-4902-9.

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Palais, Richard S. Critical point theory and submanifold geometry. Berlin: Springer-Verlag, 1988.

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Book chapters on the topic "Nonsmooth critical point theory"

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Motreanu, D., and P. D. Panagiotopoulos. "Nonsmooth Critical Point Theory." In Nonconvex Optimization and Its Applications, 35–58. Boston, MA: Springer US, 1999. http://dx.doi.org/10.1007/978-1-4615-4064-9_2.

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Canino, Annamaria, and Marco Degiovanni. "Nonsmooth critical point theory and quasilinear elliptic equations." In Topological Methods in Differential Equations and Inclusions, 1–50. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-0339-8_1.

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Degiovanni, Marco. "A Survey on Nonsmooth Critical Point Theory and Applications." In Nonconvex Optimization and Its Applications, 29–42. Boston, MA: Springer US, 2001. http://dx.doi.org/10.1007/978-1-4613-0287-2_3.

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Schechter, Martin. "Critical Point Theory." In Linking Methods in Critical Point Theory, 1–19. Boston, MA: Birkhäuser Boston, 1999. http://dx.doi.org/10.1007/978-1-4612-1596-7_1.

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Papageorgiou, Nikolaos S., Vicenţiu D. Rădulescu, and Dušan D. Repovš. "Critical Point Theory." In Springer Monographs in Mathematics, 361–456. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-03430-6_5.

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Chang, Kung-ching. "Critical Point Theory." In Infinite Dimensional Morse Theory and Multiple Solution Problems, 83–139. Boston, MA: Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0385-8_2.

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Perera, Kanishka, Ravi Agarwal, and Donal O’Regan. "Critical point theory." In Mathematical Surveys and Monographs, 45–69. Providence, Rhode Island: American Mathematical Society, 2010. http://dx.doi.org/10.1090/surv/161/04.

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Schechter, Martin. "Linking Systems." In Critical Point Theory, 1–20. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45603-0_1.

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Schechter, Martin. "Second Order Hamiltonian Systems." In Critical Point Theory, 167–90. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45603-0_10.

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Schechter, Martin. "Core Functions." In Critical Point Theory, 191–211. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45603-0_11.

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Conference papers on the topic "Nonsmooth critical point theory"

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Zhou, Yi, Zhe Wang, Kaiyi Ji, Yingbin Liang, and Vahid Tarokh. "Proximal Gradient Algorithm with Momentum and Flexible Parameter Restart for Nonconvex Optimization." In Twenty-Ninth International Joint Conference on Artificial Intelligence and Seventeenth Pacific Rim International Conference on Artificial Intelligence {IJCAI-PRICAI-20}. California: International Joint Conferences on Artificial Intelligence Organization, 2020. http://dx.doi.org/10.24963/ijcai.2020/201.

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Various types of parameter restart schemes have been proposed for proximal gradient algorithm with momentum to facilitate their convergence in convex optimization. However, under parameter restart, the convergence of proximal gradient algorithm with momentum remains obscure in nonconvex optimization. In this paper, we propose a novel proximal gradient algorithm with momentum and parameter restart for solving nonconvex and nonsmooth problems. Our algorithm is designed to 1) allow for adopting flexible parameter restart schemes that cover many existing ones; 2) have a global sub-linear convergence rate in nonconvex and nonsmooth optimization; and 3) have guaranteed convergence to a critical point and have various types of asymptotic convergence rates depending on the parameterization of local geometry in nonconvex and nonsmooth optimization. Numerical experiments demonstrate the convergence and effectiveness of our proposed algorithm.
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CHANG, KUNG-CHING. "A REVIEW OF CRITICAL POINT THEORY." In Proceedings of the International Conference on Fundamental Sciences: Mathematics and Theoretical Physics. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812811264_0001.

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ORTEGA, JUAN-PABLO, and TUDOR S. RATIU. "CRITICAL POINT THEORY AND HAMILTONIAN DYNAMICS AROUND CRITICAL ELEMENTS." In Proceedings of the International Conference. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812794543_0021.

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Cailing Wang, Wenjuan Sun, You Zhang, and Zhongfan Li. "Optimality conditions and saddle-point theory for nonsmooth generalized convexity multiobjective programming." In 2009 Chinese Control and Decision Conference (CCDC). IEEE, 2009. http://dx.doi.org/10.1109/ccdc.2009.5191826.

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Gupta, Sourendu, and Rajiv V. Gavai. "The critical end point of QCD." In XXIIIrd International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2005. http://dx.doi.org/10.22323/1.020.0160.

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Venugopalan, Raju, and Niklas Mueller. "World-line approach to chiral kinetic theory in topological background gauge fields." In Critical Point and Onset of Deconfinement. Trieste, Italy: Sissa Medialab, 2018. http://dx.doi.org/10.22323/1.311.0047.

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Kozlov, Gennady. "Critical Point and Deconfinement in Stochastic Thermal Fields." In The 36th Annual International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2019. http://dx.doi.org/10.22323/1.334.0251.

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Nishimura, Hiromichi, Robert Pisarski, and Vladimir Skokov. "Possible higher order phase transition in large-N gauge theory at finite temperature." In Critical Point and Onset of Deconfinement. Trieste, Italy: Sissa Medialab, 2018. http://dx.doi.org/10.22323/1.311.0075.

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Jin, Xiao-Yong, Yoshinobu Kuramashi, Yoshifumi Nakamura, Shinji Takeda, and Akira Ukawa. "Scalar correlators near the 3-flavor thermal critical point." In The 32nd International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2015. http://dx.doi.org/10.22323/1.214.0195.

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Li, Anyi. "Study of QCD critical point using canonical ensemble method." In The XXVII International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2010. http://dx.doi.org/10.22323/1.091.0011.

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Reports on the topic "Nonsmooth critical point theory"

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Ohad, Nir, and Robert Fischer. Control of Fertilization-Independent Development by the FIE1 Gene. United States Department of Agriculture, August 2000. http://dx.doi.org/10.32747/2000.7575290.bard.

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A fundamental problem in biology is to understand how fertilization initiates reproductive development. During plant reproduction, one sperm cell fuses with the egg to form an embryo, whereas a second sperm cell fuses with the adjacent central cell nucleus to form the endosperm tissue that supports embryo and/or seedling development. To understand the mechanisms that initiate reproduction, we have isolated mutants of Arabidopsis that allow for replication of the central cell and subsequent endosperm development without fertilization. In this project we have cloned the MEA gene and showed that it encode a SET- domain polycomb protein. Such proteins are known to form chromatin-protein complexes that repress homeotic gene transcription and influence cell proliferation from Drosophylla to mammals. We propose a model whereby MEA and an additional polycomb protein we have cloned, FIE , function to suppress a critical aspect of early plant reproduction and endosperm development, until fertilization occurs. Using a molecular approach we were able to determine that FIE and MEA interact physically, suggesting that these proteins have been conserved also during the evolution of flowering plants. The analysis of MEA expression pattern revealed that it is an imprinted gene that displays parent-of- origin-dependent monoallelic expression specifically in the endosperm tissue. Silencing of the paternal MEA allele in the endosperm and the phenotype of mutant mea seeds support the parental conflict theory for the evolution of imprinting in plants and mammals. These results contribute new information on the initiation of endosperm development and provide a unique entry point to study asexual reproduction and apomixis which is expected to improve crop production.
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Zilberman, Mark. Methods to Test the “Dimming Effect” Produced by a Decrease in the Number of Photons Received from Receding Light Sources. Intellectual Archive, November 2020. http://dx.doi.org/10.32370/iaj.2437.

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The hypothetical “Dimming Effect” describes the change of the number of photons arriving from a moving light source per unit of time. In non-relativistic systems, the “Dimming effect” may occur due to the growing distance of light sources moving away from the receiver. This means that due to the growing distance, the photons continuously require more time to reach the receiver, which reduces the number of received photons per time unit compared to the number of emitted photons. Understandably, the proposed “Dimming effect” must be tested (confirmed or rejected) through observations. a. This article provides the formula for the calculation of “Dimming effect” values using the redshift parameter Z widely used in astronomy. b. The “Dimming effect” can possibly be detected utilizing the orbital movement of the Earth around the Sun. In accordance to the “Dimming effect”, observers on Earth will view 1.0001 more photons per time unit emitted by stars located near the ecliptic plane in the direction of the Earth orbiting the Sun. And, in contrast, observers will view only 0.9999 photons per time unit emitted by stars located near the ecliptic plane in the direction opposite to the Earth orbiting the Sun. Calculating precise measurements of the same stars within a 6-month period can possibly detect this difference. These changes in brightness are not only for specific stars, as the change in brightness takes place for all stars near the ecliptic in the direction of the Earth’s orbit around the Sun and in the opposite direction. c. The “Dimming effect” can possibly be detected in a physics laboratory using a moving light source (or mirror) and photon counters located in the direction of travel and in the opposite direction. d. In theory, Dilation of time can also be used for testing the existence of the “Dimming effect.” However, in experiments on Earth this effect appears in only the 14th digit after the decimal point and testing does not appear to be feasible. e. Why is it important to test the “Dimming effect?” If confirmed, it would allow astronomers to adjust values of "Standard Candles" used in astronomy. Since “Standard Candles” are critical in various cosmological models, the “Dimming effect” can correct models and/or reveal and support new models. If it is proved that the “Dimming effect” does not exist, it will mean that the number of photons arriving per unit of time does not depend on the speed of the light source and observer, which is not so apparent.
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