Relevant bibliographies by topics / L´evy processes

Contents

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

Academic literature on the topic 'L´evy processes'

Author: Grafiati
Published: 5 June 2025
Last updated: 16 July 2025

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Journal articles on the topic "L´evy processes"

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R.S., Pereira, and Shamarova E. "Forward-Backward SDEs driven by L´evy Processes and Application to Option Pricing." Global and Stochastic Analysis 2, no. 2 (2015): 113–32. https://doi.org/10.5281/zenodo.7673862.

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Recent developments on financial markets have revealed the limits of Brownian motion pricing models when they are applied to actual markets. L´evy processes, that admit jumps over time, have been found more useful for applications. Thus, we suggest a L´evy model based on Forward-Backward Stochastic Differential Equations (FBSDEs) for option pricing in a L´evy-type market. We show the existence and uniqueness of a solution to FBSDEs driven by a L´evy process. This result is important from the mathematical point of view, and also, provid
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Biane, Philippe. "Nonlinear free L\'evy--Khinchine formula and conformal mapping." Journal of Operator Theory 85, no. 1 (2020): 79–99. http://dx.doi.org/10.7900/jot.2019aug02.2267.

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There are two natural notions of L\'evy processes in free probability: the first one has free increments with homogeneous distributions and the other has homogeneous transition probabilities (P.~Biane, \textit{Math. Z.} {\bf 227}(1998), 143--174). In the two cases one can associate a Nevanlinna function to a free L\'evy process. The Nevanlinna functions appearing in the first notion were characterized by Bercovici and Voiculescu, \textit{Pacific J. Math.} {\bf 153}(1992), 217--248. I give an explicit parametrization for the Nevanlinna functions associated with the second kind of free L\'evy pr
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TAMURA, Yozo, and Hiroshi TANAKA. "On a Fluctuation Identity for Multidimensional L\'evy Processes." Tokyo Journal of Mathematics 25, no. 2 (2002): 363–80. http://dx.doi.org/10.3836/tjm/1244208860.

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Banuelos, Rodrigo, and David Applebaum. "Martingale transform and L\'evy processes on Lie groups." Indiana University Mathematics Journal 63, no. 4 (2014): 1109–38. http://dx.doi.org/10.1512/iumj.2014.63.5317.

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Barchielli, A., and G. Lupieri. "Instrumental processes, entropies, information in quantum continual measurements." Quantum Information and Computation 4, no. 6&7 (2004): 437–49. http://dx.doi.org/10.26421/qic4.6-7-3.

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In this paper we will give a short presentation of the quantum L\'evy-Khinchin formula and of the formulation of quantum continual measurements based on stochastic differential equations, matters which we had the pleasure to work on in collaboration with Prof.\ Holevo. Then we will begin the study of various entropies and relative entropies, which seem to be promising quantities for measuring the information content of the continual measurement under consideration and for analysing its asymptotic behaviour.
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Romero-Melendez, Cutberto, and David Castillo-Fernandez. "Strong convergence on a stochastic controlled Lotka-Volterra 3-species model with L´evy jumps." Cybernetics and Physics, Volume 11, 2022, Number 4 (December 30, 2022): 227–33. http://dx.doi.org/10.35470/2226-4116-2022-11-4-227-233.

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In this paper we study two properties of the numerical solutions of a controlled stochastic Lotka-Volterra one-predator-two-prey model, namely the boundedness in the mean of the numerical solutions and the strong convergence of these solutions. We also establish and solve, by means of the Stochastic Maximum Principle, the corresponding optimal control problem in a population modeled by a Lotka-Volterra system with two types of stochastic environmental fluctuations: white noise and L´evy jumps. Our study shows, assuming standard linear growth and Lipschitz conditions on the drift and diffusion
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Grechko, Alexander S., and Oleg E. Kudryavtsev. "Universal Monte Carlo method for Lévy processes and their extrema." Russian Universities Reports. Mathematics, no. 147 (2024): 233–43. http://dx.doi.org/10.20310/2686-9667-2024-29-147-233-243.

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The article proposes a universal approach to constructing Monte Carlo methods for pricing options with payoffs depending on the joint distribution of the final position of the Lévy process X_T and its infimum J_T (or supremum S_T). We derive approximate formulas for the conditional cumulative distribution functions of the Lévy process "P"(X_T<x|S_T=y) (P(X_T<x|J_T=y)), which are expressed through the partial derivative with respect to y of the joint cumulative distribution function "P"(X_T<x,S_T<y) (P(X_T<x,J_T<y)) and the density of the infimum (or supremum) at the final mom
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Maas, Adriele Santos Van Der, Nazareth Jordelina Ribeiro da Silva, Alexandre Sylvio Vieira da Costa, Aruana Rocha Barros, and Cleide Aparecida Bomfeti. "The degradation of methylene blue dye by the strains of Pleurotus sp. with potential applications in bioremediation processes." Ambiente e Agua - An Interdisciplinary Journal of Applied Science 13, no. 4 (2018): 1. http://dx.doi.org/10.4136/ambi-agua.2247.

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Fungi have a large capacity to produce enzymes that are capable of degrading compounds. In this regard, soluble dyes are often used as a means of evaluating and selecting strains with potential for biodegradation. This study verified the capacity of the strains of Pleurotus sp. in degrading methylene blue dye, in order to identify the strains with potential for the bioremediation. For this reason, a total of seven strains of Pleurotus sp. were grown in a potato liquid medium with the methylene blue dye at the concentrations of 0.02 g L-1 and 0.04 g L-1. The results of the absorbances showed th
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Sotgia, Salvatore, Andrea Taras, Angelo Zinellu, et al. "Hercynine, Ergothioneine and Redox State in Stallion’s Seminal Plasma." Antioxidants 9, no. 9 (2020): 855. http://dx.doi.org/10.3390/antiox9090855.

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The dependence of a stallion’s spermatozoa on oxidative phosphorylation for energy requirements results in an unconventional relationship between reactive oxygen species (ROS) production and fertility. In such a scenario, antioxidant activity must be finely controlled and not affect the essential functions of ROS. Some in vivo evidence suggests that the naturally occurring antioxidant ergothioneine (ERT) interferes with the critical roles of ROS/reactive nitrogen species (RNS) in pro-oxidant states but not in healthy tissues. The measurement of ERT in seminal plasma collected from 14 stallions
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Atamanchuk, Viktoriia. "MODELING OF PERSONAGE’S FICTIONAL CONSCIOUSNESS IN DRAMA L. STARYTSKA-CHERNYAKHIVSKA “ON THE EVE”." Literary Studies, no. 65 (2024): 9–15. https://doi.org/10.17721/2520-6346.2(65).9-15.

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The article is devoted to the study of means of artistic construction of the personages’ consciousness in the play “On the Eve” by L. Starytska-Chernyakhivska. The parameters of modeling the personage’s fictional consciousness as a phenomenon that changes external circumstances, affects the essence of internal experiences, which contribute to the formation of new levels of understanding of the personages, are analyzed; the correlations between personages’ fictional consciousness and the external fictional world is traced through the understanding of new meanings as a basis for the formation of
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Dissertations / Theses on the topic "L´evy processes"

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Ott, Curdin. "Optimal stopping problems for the maximum process." Thesis, University of Bath, 2013. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.601683.

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A cornerstone in the theory of optimal stopping for the maximum process is a result known as Peskir’s maximality principle. It has proved to be a powerful tool to solve optimal stopping problems involving the maximum process under the assumption that the driving process X is a time-homogeneous diffusion. In this thesis we adapt Peskir’s maximality principle to allow for X a spectrally negative L´evy processes, thereby providing a general method to approach optimal stopping problems for the maximum process driven by spectrally negative L´evy processes. We showcase this by explicitly solving thr
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Pesee, Chatchai. "Stochastic modelling of financial processes with memory and semi-heavy tails." Thesis, Queensland University of Technology, 2005. https://eprints.qut.edu.au/16057/2/Chatchai%20Pesee%20Thesis.pdf.

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This PhD thesis aims to study financial processes which have semi-heavy-tailed marginal distributions and may exhibit memory. The traditional Black-Scholes model is expanded to incorporate memory via an integral operator, resulting in a class of market models which still preserve the completeness and arbitragefree conditions needed for replication of contingent claims. This approach is used to estimate the implied volatility of the resulting model. The first part of the thesis investigates the semi-heavy-tailed behaviour of financial processes. We treat these processes as continuous-t
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Pesee, Chatchai. "Stochastic Modelling of Financial Processes with Memory and Semi-Heavy Tails." Queensland University of Technology, 2005. http://eprints.qut.edu.au/16057/.

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This PhD thesis aims to study financial processes which have semi-heavy-tailed marginal distributions and may exhibit memory. The traditional Black-Scholes model is expanded to incorporate memory via an integral operator, resulting in a class of market models which still preserve the completeness and arbitragefree conditions needed for replication of contingent claims. This approach is used to estimate the implied volatility of the resulting model. The first part of the thesis investigates the semi-heavy-tailed behaviour of financial processes. We treat these processes as continuous-t
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Wei, Yu-Shin, and 魏郁欣. "Pricing Reverse Mortgages under Exponential L''evy Processes." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/45005305112392041121.

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碩士<br>國立高雄第一科技大學<br>風險管理與保險所<br>97<br>The purpose of this study is to price reverse mortgages and to discuss about the details of the major risk. And, in the study is assumed that housing prices under exponential Lévy processes instead of geometric Brownian motion. Moreover, the Gompertz-Makeham mortality law modeled for the borrower. All of the above, the paper is investigated to find more appropriate annuities, and the result presents that the annuity payment increases with the borrowers'' age or the growing house price.
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Chen, Sih-Han, and 陳思翰. "Pricing Mortgage Insurance under Exponential L''evy Processes." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/38482888334463898591.

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碩士<br>國立高雄第一科技大學<br>風險管理與保險所<br>97<br>In the United States and other developed countries, mortgage insurance plays an important role in the functioning of the housing, since it reduces the risk exposure of lenders and helps the creation of secondary mortgage markets. But in fact, in addition to unclear property rights and inefficient legal systems, the absence of secondary mortgage markets has been identified as one of the key reasons for the low level of development of the housing finance market. The purpose of this study is based on the model of Bardhan, Karapandza and Urosevic (2006) of the
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Phelan, Thomas Michael. "Small-time Chung Laws for L evy processes." Master's thesis, 2014. http://hdl.handle.net/1885/12271.

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In this thesis we review and add to the literature extending the so-called `other' law of the iterated logarithm of Chung (1948). By adapting the large-time techniques of Rushton (2007) to the small-time setting and employing and slightly extending a characterisation result of Maller and Mason (2008), we derive both one-dimensional and functional Chung laws for a large class of Levy processes lying in the domain of attraction of strictly stable laws at zero. In particular, our results extend the work of Buchmann and Maller (2011) to encompass processes with vanishing Gaussian component lying
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Wong, Hong-Ren, and 翁宏仁. "Empirical Study on Temperature Variations Using L''evy Processes." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/30462939043756080929.

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碩士<br>國立高雄第一科技大學<br>風險管理與保險所<br>98<br>In this paper, we suggest the Mandal’s model (2008) modified from Alaton et al. (2002) to study the data using long-term average of daily temperature from 1995 to 2009, applying an Ornstein-Uhlenbeck model with L&apos;&apos;evy processes to model the daily average temperature variations. We hope to contribute a limited power to the related studies on weather derivatives at the main cities in Asia. The main empirical results are as below: firstly, our model is appropriate for Beijing, Shanghai, Seoul and Hong Kong, but Singapore and Mumbai. Secondly, the ci
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Books on the topic "L´evy processes"

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Jean, Bertoin, Martinelli F, Peres Y, et al., eds. Lectures on probability theory and statistics: Ecole d'été de probabilités de Saint-Flour XXVII, 1997. Springer, 2000.

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Ecole d'été de probabilités de Saint-Flour (27th 1997). Lectures on probability theory and statistics: Ecole d'eté de probabilités de Saint-Flour XXVII, 1997. Edited by Bertoin Jean, Martinelli F, Peres Y, and Bernard P. 1944-. Springer, 1999.

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Prescott, Tony J., and Leah Krubitzer. Evo-devo. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199674923.003.0008.

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This chapter explores how principles underlying natural evo-devo (evolution and development) continue to inspire the design of artificial systems from models of cell growth through to simulated three-dimensional evolved creatures. Research on biological evolvability shows that phenotypic outcomes depend on multiple interactions across different organizational levels—the adult organism is the outcome of a series of genetic cascades modulated in time and space by the wider embryological, bodily, and environmental context. This chapter reviews evo-devo principles discovered in biology and explore
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Weidenfeld, Werner, and Wolfgang Wessels, eds. Jahrbuch der Europäischen Integration 2021. Nomos Verlagsgesellschaft mbH & Co. KG, 2021. http://dx.doi.org/10.5771/9783748912668.

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The yearbook on European integration, compiled by the Institute of European Politics in Berlin, has documented the process of European integration in an up-to-date and detailed way since 1980. The result is a unique record of contemporary European history over a 41 year period. The 2021 edition of the yearbook continues this tradition. In approximately 100 contributions related to their main research subjects, the book’s authors portray the events of European politics in the period 2020–21 and inform the reader about the work of European institutions, the development of the EU’s policy areas,
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Rogers, W. Sherman. The African American Entrepreneur. ABC-CLIO, LLC, 2009. http://dx.doi.org/10.5040/9798400607639.

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African American entrepreneurship has been an integral part of the American economy since the 1600s. On the eve of the Civil War, the collective wealth of free blacks was approximately $50 million. In 2006, African Americans earned a whopping $744 billion, a figure that exceeds the gross domestic product of all but 15 nations of the 192 independent countries in the world. As W. Sherman Rogers so ably demonstrates, African Americans have achieved these economic gains under difficult circumstances. Slavery, segregation, and legally limited access to property, education, and other opportunities h
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Book chapters on the topic "L´evy processes"

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"L´evy processes." In Financial Modelling with Jump Processes. Chapman and Hall/CRC, 2003. http://dx.doi.org/10.1201/9780203485217.ch3.

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"Building L´evy processes." In Financial Modelling with Jump Processes. Chapman and Hall/CRC, 2003. http://dx.doi.org/10.1201/9780203485217.ch4.

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"Simulating L´evy processes." In Financial Modelling with Jump Processes. Chapman and Hall/CRC, 2003. http://dx.doi.org/10.1201/9780203485217.sec2.

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"Measure transformations for L´evy processes." In Financial Modelling with Jump Processes. Chapman and Hall/CRC, 2003. http://dx.doi.org/10.1201/9780203485217.ch9.

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"Risk-neutral modelling with exponential L´evy processes." In Financial Modelling with Jump Processes. Chapman and Hall/CRC, 2003. http://dx.doi.org/10.1201/9780203485217.ch11.

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"Modelling financial time series with L´evy processes." In Financial Modelling with Jump Processes. Chapman and Hall/CRC, 2003. http://dx.doi.org/10.1201/9780203485217.ch7.

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Souza, Lincoln Fonseca de, Diego Guimarães, Rossano Gimenes, and Flavio Soares Silva. "Dye degradation in water using Nickel/Bismuth catalyst." In Themes focused on interdisciplinarity and sustainable development worldwide V. 02. Seven Editora, 2024. http://dx.doi.org/10.56238/sevened2024.003-071.

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The chemical contaminants present in the aquatic environment resources are a major cause of concern for human health and the environment and safety concern. These contaminations have risen into a major threat to the water distribution system. Ultimately, research activities centred on advanced oxidation processes (AOPs) for the destruction of synthetic organic species resistant to conventional methods. AOPs rely on in situ generation of highly reactive radical species, mainly hydroxyl radical (٠HO) by using solar, chemical or other forms of energy. The most attractive feature of AOPs is that this highly potent and strongly oxidizing radical allows the destruction of a wide range of organic chemical substrate with no selectivity. Catalysts based on bismuth and nickel shows photocatalytic activity under the action of visible light. Catalysts were prepared by hydrolysis followed by thermal treatment (400°C for 3 hours). Characterization techniques such as X-ray diffraction (XRD), the tetragonal and monoclinic phases were confirmed. Scanning Electron Microscopy (SEM) with Energy-Dispersive X-Ray Spectroscopy (EDS) showed micro-flora morphology hierarchically constructed by stacking nanosheets with thicknesses ranging from 140-250 nm. The calculated Eg values reached 2.36 eV. The photocatalytic efficiency was evaluated under white LED light irradiation for 2 hours. The reaction control parameters were 50 mg of catalyst, 12.00 mg L-1 RhB solution and natural pH of the RhB solution (pH = 6.22). The catalyst showed photocatalytic efficiency of 99%. The synthesized materials showed a high capacity for consecutive reuse, proving to be an environmentally friendy, green chemistry, and economically viable approach.
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Kelly, M. J. "Amorphous semiconductor multilayers." In Low-Dimensional Semiconductors. Oxford University PressOxford, 1995. http://dx.doi.org/10.1093/oso/9780198517818.003.0020.

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Abstract So far, all the materials physics and devices have used single-crystal multilayer semiconductor structures. Great effort has been made in the growth to achieve precise single-crystal properties and sharp interfaces between adjacent layers. During the fabrication of devices, the process steps attempt to preserve the crystalline integrity. In the past 20 years, hydrogenated amorphous Si has developed rapidly from a research material (first doped to make p-n junction devices in 1976) to the host material for the electronics of displays, with a $4 billion turnover in 1991-1992 (Le Comber 1992). It is now possible to obtain photocells for powering calculators, watches, etc., photoconductors for a wide range of sensing applications, thin-film transistors for driving liquid-crystal displays, and high-voltage thin-film transistors for driving printers. The films of amorphous Si suitable for devices are prepared by plasma-enhanced chemical vapour deposition from SiH4. In the early days, the role of hydrogen was underestimated in this device-grade material, but it is now known to constitute anywhere in the 2-16 at. % range (Street 1991) (this reference is a comprehensive introduction to hydrogenated amorphous Si, including an introduction to multilayers). The role of hydrogen is to saturate all the unsatisfied dangling bonds in a continuous random network. Studies of ideal random networks (shown schematically in Fig. 20.1) indicate that a dangling bond is electronically active with energy levels in and near the gap. The formation of Si-H bonds saturates these bonds and moves the relevant states far from the gap. Only states associated with unsatisfied Si-H bonds and with traditional donors and acceptors remain in the gap, and the behaviour of the latter is similar to that in crystalline semiconductors. The nearest-neighbour distance between Si atoms is the same as in the crystal, and the density of amorphous Si is only a few per cent less than that of single-crystal Si. There is some evidence that the Si-H bonds are metastable, and that movement of hydrogen takes place between different bonds (Street 1991). The electronic structure of an amorphous semiconductor differs from its crystalline counterpart; despite the absence of long-range order, and a band structure in the conventional sense, there is still a principal bandgap. The band-edge densities of states do not have the sharp E energy dependence, but rather an exponential tail brought about by electron states localized in regions of lower potential energy within the amorphous network; these states are spread over a range with an energy scale E0 ∼ 0.1 eV associated with it (Fig. 20.l(b)).
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Conference papers on the topic "L´evy processes"

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Campbell, E. M., N. Landen, M. Perry, and W. L. Kruer. "Short pulse laser-produced plasma x-ray sources." In International Laser Science Conference. Optica Publishing Group, 1986. http://dx.doi.org/10.1364/ils.1986.fh2.

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The interaction of intense laser radiation (l &gt; 1013 W/cm2) with plasmas has been extensively studied for the past decade. Since the primary motivations for these studies has been laser-driven inertial confinement fusion and XUV laser research, pulse lengths have ranged from 20 ps to &gt; 1 ns with the majority of experiments being conducted with pulses longer than 100 ps. The physics characterizing the laser-plasma coupling in such experiments is qualitatively well known with the intense laser pulse interacting by a variety of processes with a low density (ne ≲ n c ≃ 1021 λ−2 μm, λ is the
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Campbell, E. M., N. Landen, M. Perry, and W. L. Kruer. "Short pulse laser-produced plasma x-ray sources." In OSA Annual Meeting. Optica Publishing Group, 1986. http://dx.doi.org/10.1364/oam.1986.fh2.

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The interaction of intense laser radiation (l &gt; 1013 W/cm2) with plasmas has been extensively studied for the past decade. Since the primary motivations for these studies have been laser-driven inertial confinement fusion and XUV laser research, pulse lengths have ranged from 20 ps to &gt; 1 ns with the majority of experiments being conducted with pulses longer than 100 ps. The physics characterizing the laser–plasma coupling in such experiments is qualitatively well known with the intense laser pulse interacting by a variety of processes with a low density (ne ≲ n c ≃ 1021 λ−2 μm, λ is the
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Érsek, Attila. "Történelmi forrásokhoz kapcsolódó kritikai gondolkodásfejlesztés tapasztalatai." In Agria Média 2020 : „Az oktatás digitális átállása korunk pedagógiai forradalma”. Eszterházy Károly Egyetem Líceum Kiadó, 2021. http://dx.doi.org/10.17048/am.2020.179.

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Az előadás egy átfogó kutatási téma eredményeinek megosztására irányul (Érsek, 2019). Olyan neveléstudományi témában kerestem módszertani megoldást, amely szorosan kapcsolódik a kritikai gondolkodás fejlesztéséhez elektronikus tanulási környezetben. A történelmi tartalomba ágyazott kritikai gondolkodás kognitív elemeinek mérési, fejlesztési területeire koncentráltam. A történelemtanítás kutatásának nemzetközi dimenziójában az egyik megközelítés szerint a kritikai gondolkodás fejlesztésének és a forráselemzésnek kell a történelemtanítás középpontjában állnia (Jancsák, 2019). A feladat és a foga
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