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1

Cecotti, S., та Cumrun Vafa. "Exact Results for SupersymmetricσModels". Physical Review Letters 68, № 7 (1992): 903–6. http://dx.doi.org/10.1103/physrevlett.68.903.

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2

Arbuzov, A. B., V. V. Bytev, E. A. Kuraev, E. Tomasi-Gustafsson, and Yu M. Bystritskiy. "Exact results in QED." Physics of Particles and Nuclei 42, no. 1 (2011): 1–54. http://dx.doi.org/10.1134/s1063779611010023.

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3

McCoy, Barry. "Ising model: exact results." Scholarpedia 5, no. 7 (2010): 10313. http://dx.doi.org/10.4249/scholarpedia.10313.

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4

Krolikowski, W., and M. R. Belić. "Multigrating phase conjugation: exact results." Optics Letters 13, no. 2 (1988): 149. http://dx.doi.org/10.1364/ol.13.000149.

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5

Hata, Hiroyuki, Sanefumi Moriyama, and Shunsuke Teraguchi. "Exact Results on Twist Anomaly." Journal of High Energy Physics 2002, no. 02 (2002): 036. http://dx.doi.org/10.1088/1126-6708/2002/02/036.

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6

Loutsenko, Igor, and Oksana Yermolayeva. "Non-Laplacian growth: Exact results." Physica D: Nonlinear Phenomena 235, no. 1-2 (2007): 56–61. http://dx.doi.org/10.1016/j.physd.2007.07.018.

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7

Bensoussan, A. "Some Results on Exact Controllability." IFAC Proceedings Volumes 22, no. 4 (1989): 11–15. http://dx.doi.org/10.1016/s1474-6670(17)53512-0.

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8

Comtet, Alain, and David S. Dean. "Exact results on Sinai's diffusion." Journal of Physics A: Mathematical and General 31, no. 43 (1998): 8595–605. http://dx.doi.org/10.1088/0305-4470/31/43/004.

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9

Markarian, R. "New ergodic billiards: exact results." Nonlinearity 6, no. 5 (1993): 819–41. http://dx.doi.org/10.1088/0951-7715/6/5/009.

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10

Kevrekidis, P. G., V. V. Konotop, A. R. Bishop, and S. Takeno. "Discrete compactons: some exact results." Journal of Physics A: Mathematical and General 35, no. 45 (2002): L641—L652. http://dx.doi.org/10.1088/0305-4470/35/45/103.

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11

Guttman, A. J. "Lattice trails. I. Exact results." Journal of Physics A: Mathematical and General 18, no. 4 (1985): 567–73. http://dx.doi.org/10.1088/0305-4470/18/4/008.

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12

Dantchev, D. M., and S. Dietrich. "Critical Casimir effect: Exact results." Physics Reports 1005 (March 2023): 1–130. http://dx.doi.org/10.1016/j.physrep.2022.12.004.

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13

Shirayanagi, Kiyoshi, and Hiroshi Sekigawa. "A new method of reducing exact computations to obtain exact results." ACM Communications in Computer Algebra 43, no. 3/4 (2010): 102–4. http://dx.doi.org/10.1145/1823931.1823950.

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14

Quine, M. P., and J. S. Law. "Exact results for a secretary problem." Journal of Applied Probability 33, no. 3 (1996): 630–39. http://dx.doi.org/10.2307/3215345.

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We consider the following secretary problem: items ranked from 1 to n are randomly selected without replacement, one at a time, and to ‘win' is to stop at an item whose overall rank is less than or equal to s, given only the relative ranks of the items drawn so far. Our method of analysis is based on the existence of an imbedded Markov chain and uses the technique of backwards induction. In principal the approach can be used to give exact results for any value of s; we do the working for s = 3. We give exact results for the optimal strategy, the probability of success and the distribution of T
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15

Lenzi, E. K., R. S. Mendes, Kwok Sau Fa, L. S. Moraes, L. R. da Silva, and L. S. Lucena. "Nonlinear fractional diffusion equation: Exact results." Journal of Mathematical Physics 46, no. 8 (2005): 083506. http://dx.doi.org/10.1063/1.1993527.

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16

Netz, Roland R. "Inclusions in Fluctuating Membranes: Exact Results." Journal de Physique I 7, no. 7 (1997): 833–52. http://dx.doi.org/10.1051/jp1:1997205.

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17

Pang, Tao. "Hydrogen molecule under confinement: Exact results." Physical Review A 49, no. 3 (1994): 1709–13. http://dx.doi.org/10.1103/physreva.49.1709.

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18

Zhou, Yaoqi, Carol K. Hall, and George Stell. "Exact results for isolated sticky chains." Molecular Physics 86, no. 6 (1995): 1485–92. http://dx.doi.org/10.1080/00268979500102871.

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19

Broderix, K., N. Heldt, and H. Leschke. "Exact results on Landau-level broadening." Journal of Physics A: Mathematical and General 24, no. 15 (1991): L825—L831. http://dx.doi.org/10.1088/0305-4470/24/15/007.

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20

Arenzon, J. J., A. J. Bray, L. F. Cugliandolo, and A. Sicilia. "Exact results for two-dimensional coarsening." European Physical Journal B 64, no. 3-4 (2008): 403–7. http://dx.doi.org/10.1140/epjb/e2008-00020-6.

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21

WANG, D. F. "PRICING DEFAULTABLE DEBT: SOME EXACT RESULTS." International Journal of Theoretical and Applied Finance 02, no. 01 (1999): 95–99. http://dx.doi.org/10.1142/s0219024999000078.

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In this letter, I consider the issue of pricing risky debt by following Merton's approach. I generalize Merton's results to the case where the interest rate is modeled by the CIR term structure. Exact closed forms are provided for the risky debt's price.
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22

Gulácsi, Zsolt. "Exact results for non-integrable systems." Journal of Physics: Conference Series 410 (February 8, 2013): 012011. http://dx.doi.org/10.1088/1742-6596/410/1/012011.

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23

Trugman, S. A. "Exact results for theU=∞ Hubbard model." Physical Review B 42, no. 10 (1990): 6612–13. http://dx.doi.org/10.1103/physrevb.42.6612.

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24

Quine, M. P., and J. S. Law. "Exact results for a secretary problem." Journal of Applied Probability 33, no. 03 (1996): 630–39. http://dx.doi.org/10.1017/s0021900200100075.

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We consider the following secretary problem: items ranked from 1 to n are randomly selected without replacement, one at a time, and to ‘win' is to stop at an item whose overall rank is less than or equal to s, given only the relative ranks of the items drawn so far. Our method of analysis is based on the existence of an imbedded Markov chain and uses the technique of backwards induction. In principal the approach can be used to give exact results for any value of s; we do the working for s = 3. We give exact results for the optimal strategy, the probability of success and the distribution of T
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25

Morita, Y., Y. Hatsugai, and M. Kohmoto. "Exact results for the excitonic phase." Journal of Physics: Condensed Matter 8, no. 26 (1996): 4767–74. http://dx.doi.org/10.1088/0953-8984/8/26/008.

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26

Valtancoli, P. "Exact results in Chern-Simons supergravity." Nuclear Physics B 527, no. 1-2 (1998): 433–59. http://dx.doi.org/10.1016/s0550-3213(98)00205-3.

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27

Nishimori, Hidetoshi. "Exact results on spin glass models." Physica A: Statistical Mechanics and its Applications 306 (April 2002): 68–75. http://dx.doi.org/10.1016/s0378-4371(02)00486-7.

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28

Forgacs, G., and V. Privman. "Directed compact lattice animals: Exact results." Journal of Statistical Physics 49, no. 5-6 (1987): 1165–80. http://dx.doi.org/10.1007/bf01017564.

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29

Hawkes, John. "Exact capacity results for stable processes." Probability Theory and Related Fields 112, no. 1 (1998): 1–11. http://dx.doi.org/10.1007/s004400050180.

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30

Chang, Shu-Chiuan, and Robert Shrock. "Some Exact Results on Bond Percolation." Journal of Statistical Physics 149, no. 4 (2012): 676–700. http://dx.doi.org/10.1007/s10955-012-0616-5.

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31

Sfetsos, Konstadinos. "Conformally exact results for coset models." Nuclear Physics B 389, no. 2 (1993): 424–42. http://dx.doi.org/10.1016/0550-3213(93)90327-l.

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32

JANA, DEBNARAYAN. "UNIVERSAL DIAMAGNETISM: EXACT RESULTS AND APPLICATIONS." International Journal of Modern Physics B 15, no. 19n20 (2001): 2811–20. http://dx.doi.org/10.1142/s0217979201006379.

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Diamagnetism is a universal pheneomenon of spinless boson system at any finite temperature regardless of their interactions. We present here the exact, non-perturbative results of universal diamagnetism of charged scalar fields at any finite temperature. As an application, we study the effect of anisotropy of two coherence lengths on diamagnetic susceptibility of Cooper pairs in an arbitrary d-dimensions above the transition temperature.
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33

Zinn-Justin, Jean. "From multi-instantons to exact results." Annales de l’institut Fourier 53, no. 4 (2003): 1259–85. http://dx.doi.org/10.5802/aif.1979.

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34

Tannous, C., and A. Yelon. "Injection currents in insulators: Exact results." Journal of Applied Physics 63, no. 1 (1988): 224–25. http://dx.doi.org/10.1063/1.340494.

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35

Mattis, Daniel C. "“Limit” Model of CuO2Planes: Exact Results." Physical Review Letters 74, no. 18 (1995): 3676–79. http://dx.doi.org/10.1103/physrevlett.74.3676.

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36

Dhar, Deepak. "Some exact results for polymer models." Physica A: Statistical Mechanics and its Applications 140, no. 1-2 (1986): 210–11. http://dx.doi.org/10.1016/0378-4371(86)90223-2.

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37

Delfino, Gesualdo. "Exact results for spin glass criticality." Journal of Statistical Mechanics: Theory and Experiment 2025, no. 6 (2025): 063204. https://doi.org/10.1088/1742-5468/ade135.

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Abstract In recent years scale invariant scattering theory provided the first exact access to the magnetic critical properties of two-dimensional statistical systems with quenched disorder. We show how the theory extends to the overlap variables entering the characterization of spin glass properties. The resulting exact fixed point equations yield both the magnetic and, for the first time, the spin glass renormalization group fixed points. For the case of the random bond Ising model, on which we focus, the spin glass subspace of solutions is found to contain a line of fixed points. We discuss
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38

Kaushik, S. K. "Some results concerning frames in Banach spaces." Tamkang Journal of Mathematics 38, no. 3 (2007): 267–76. http://dx.doi.org/10.5556/j.tkjm.38.2007.80.

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A necessary and sufficient condition for the associated sequence of functionals to a complete minimal sequence to be a Banach frame has been given. We give the definition of a weak-exact Banach frame, and observe that an exact Banach frame is weak-exact. An example of a weak-exact Banach frame which is not exact has been given. A necessary and sufficient condition for a Banach frame to be a weak-exact Banach frame has been obtained. Finally, a necessary condition for the perturbation of a retro Banach frame by a finite number of linearly independent vectors to be a retro Banach frame has been
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39

Gerbner, Dániel, and Cory Palmer. "Some exact results for generalized Turán problems." European Journal of Combinatorics 103 (June 2022): 103519. http://dx.doi.org/10.1016/j.ejc.2022.103519.

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40

Arunachalam, Srinivasan, Sourav Chakraborty, Troy Lee, Manaswi Paraashar, and Ronald de Wolf. "Two new results about quantum exact learning." Quantum 5 (November 24, 2021): 587. http://dx.doi.org/10.22331/q-2021-11-24-587.

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We present two new results about exact learning by quantum computers. First, we show how to exactly learn a k-Fourier-sparse n-bit Boolean function from O(k1.5(log⁡k)2) uniform quantum examples for that function. This improves over the bound of Θ~(kn) uniformly random classical examples (Haviv and Regev, CCC'15). Additionally, we provide a possible direction to improve our O~(k1.5) upper bound by proving an improvement of Chang's lemma for k-Fourier-sparse Boolean functions. Second, we show that if a concept class C can be exactly learned using Q quantum membership queries, then it can also be
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41

Clément, E., P. Leroux-Hugon, and L. M. Sander. "Exact results for a chemical reaction model." Physical Review Letters 67, no. 12 (1991): 1661–64. http://dx.doi.org/10.1103/physrevlett.67.1661.

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42

Hermisson, Joachim. "Aperiodic and correlated disorder inXYchains: exact results." Journal of Physics A: Mathematical and General 33, no. 1 (1999): 57–79. http://dx.doi.org/10.1088/0305-4470/33/1/304.

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43

Ferguson, M., and Y. Aminetzah. "Exact Results for Nonsymmetric Token Ring Systems." IEEE Transactions on Communications 33, no. 3 (1985): 223–31. http://dx.doi.org/10.1109/tcom.1985.1096285.

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44

BIRMINGHAM, DANNY, IVO SACHS, and SIDDHARTHA SEN. "EXACT RESULTS FOR THE BTZ BLACK HOLE." International Journal of Modern Physics D 10, no. 06 (2001): 833–57. http://dx.doi.org/10.1142/s0218271801001207.

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In this review, we summarize exact results for the three-dimensional BTZ black hole. We use rigorous mathematical results to clarify the general structure and properties of this black hole spacetime and its microscopic description. In particular, we study the formation of the black hole by point particle collisions, leading to an exact analytic determination of the Choptuik scaling parameter. We also show that a "No Hair Theorem" follows immediately from a mathematical theorem of hyperbolic geometry, due to Sullivan. A microscopic understanding of the Bekenstein–Hawking entropy, and decay rate
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45

Zhou, Y. Y., and X. Q. Yang. "Some Results about Duality and Exact Penalization." Journal of Global Optimization 29, no. 4 (2004): 497–509. http://dx.doi.org/10.1023/b:jogo.0000047916.73871.88.

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46

Taylor, Mark P. "Square-well diatomics Exact low density results." Molecular Physics 82, no. 6 (1994): 1151–64. http://dx.doi.org/10.1080/00268979400100814.

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47

Mallick, Kirone. "Some exact results for the exclusion process." Journal of Statistical Mechanics: Theory and Experiment 2011, no. 01 (2011): P01024. http://dx.doi.org/10.1088/1742-5468/2011/01/p01024.

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48

Zhao, Y., and G. H. Chen. "Quantum dissipative master equations: Some exact results." Journal of Chemical Physics 114, no. 24 (2001): 10623–37. http://dx.doi.org/10.1063/1.1374537.

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49

Jaekel, M. T., J. M. Maillard, and R. Rammal. "New Exact Results for the Potts Model." Physical Review Letters 54, no. 3 (1985): 209–12. http://dx.doi.org/10.1103/physrevlett.54.209.

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50

Vieira, H. S., V. B. Bezerra, C. R. Muniz, and M. S. Cunha. "Some exact results on quantum Newtonian cosmology." Journal of Mathematical Physics 60, no. 10 (2019): 102301. http://dx.doi.org/10.1063/1.5086370.

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