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Journal articles on the topic 'Potts glass'

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Published: 4 June 2021
Last updated: 9 March 2023

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1

Yokota, Terufumi. "Glass–Glass Transition in a Potts Model." Journal of the Physical Society of Japan 80, no. 1 (January 15, 2011): 014708. http://dx.doi.org/10.1143/jpsj.80.014708.

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2

Krząkała, F., and L. Zdeborová. "Potts glass on random graphs." EPL (Europhysics Letters) 81, no. 5 (February 4, 2008): 57005. http://dx.doi.org/10.1209/0295-5075/81/57005.

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3

BENGTSSON, MATS, and PERTTI ROIVAINEN. "USING THE POTTS GLASS FOR SOLVING THE CLUSTERING PROBLEM." International Journal of Neural Systems 06, no. 02 (June 1995): 119–32. http://dx.doi.org/10.1142/s012906579500010x.

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We present an application of a Potts glass to the clustering problem. Simulated annealing in the mean field approximation is used in order to avoid local minima. The resulting updating equations are completely parallel, and very easy to implement. The model has no free parameters except for the annealing parameters. We show how the model can be implemented for some special clustering problems. The T→0 limit of the Potts glass is identical to the vector quantization algorithm with certain increments. A comparative study of the Potts glass and vector quantization is also made, and it is shown that for difficult clustering problems, the Potts glass is far better than vector quantization.
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4

Kanter, Ido. "Potts-glass models of neural networks." Physical Review A 37, no. 7 (April 1, 1988): 2739–42. http://dx.doi.org/10.1103/physreva.37.2739.

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5

Cherepanov, V. B., S. L. M. Cyr, and B. W. Southern. "Metastable states of the Potts glass." Journal of Physics A: Mathematical and General 25, no. 16 (August 21, 1992): 4347–58. http://dx.doi.org/10.1088/0305-4470/25/16/012.

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6

de Oliveira, Mário J., and Sílvio R. Salinas. "Potts glass on the Bethe lattice." Physical Review B 35, no. 16 (June 1, 1987): 8744–46. http://dx.doi.org/10.1103/physrevb.35.8744.

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7

Bolle, D., and F. Mallezie. "Image evolution in Potts-glass neural networks." Journal of Physics A: Mathematical and General 22, no. 20 (October 21, 1989): 4409–18. http://dx.doi.org/10.1088/0305-4470/22/20/017.

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8

Gross, D. J., I. Kanter, and H. Sompolinsky. "Mean-field theory of the Potts glass." Physical Review Letters 55, no. 3 (July 15, 1985): 304–7. http://dx.doi.org/10.1103/physrevlett.55.304.

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9

Chang, Mau-chung. "Two-loop renormalization of Potts spin-glass." Physical Review B 31, no. 7 (April 1, 1985): 4329–36. http://dx.doi.org/10.1103/physrevb.31.4329.

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10

Panchenko, Dmitry. "Free energy in the Potts spin glass." Annals of Probability 46, no. 2 (March 2018): 829–64. http://dx.doi.org/10.1214/17-aop1193.

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11

Vogt, H., and A. Zippelius. "Invariant recognition in Potts glass neural networks." Journal of Physics A: Mathematical and General 25, no. 8 (April 21, 1992): 2209–26. http://dx.doi.org/10.1088/0305-4470/25/8/032.

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12

Camelo-Neto, G., Washington de Lima, S. Coutinho, and W. A. M. Morgado. "Potts spin glass: a renormalization group approach." Physica A: Statistical Mechanics and its Applications 342, no. 1-2 (October 2004): 83–89. http://dx.doi.org/10.1016/j.physa.2004.04.063.

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13

Chiang, M., and D. Marenduzzo. "Glass transitions in the cellular Potts model." EPL (Europhysics Letters) 116, no. 2 (October 1, 2016): 28009. http://dx.doi.org/10.1209/0295-5075/116/28009.

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14

Kanter, I., and H. Sompolinsky. "Graph optimisation problems and the Potts glass." Journal of Physics A: Mathematical and General 20, no. 11 (August 1, 1987): L673—L679. http://dx.doi.org/10.1088/0305-4470/20/11/001.

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15

Bakaev, A. V., A. N. Ermilov, and A. M. Kurbatov. "Spin glass in three-component Potts model." Theoretical and Mathematical Physics 71, no. 2 (May 1987): 555–58. http://dx.doi.org/10.1007/bf01028657.

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16

CONIGLIO, ANTONIO. "FRACTALS IN THE GLASS TRANSITION." Fractals 04, no. 03 (September 1996): 349–54. http://dx.doi.org/10.1142/s0218348x96000467.

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The static and fractal properties of the frustrated percolation model are investigated. This model, which contains frustration as an essential ingredient, displays glassy behavior at high density or low temperature and exhibits two transitions: a percolation transition at a temperature Tp with critical exponents of the ferromagnetic s=1/2 state Potts model, and a second transition at a lower temperature Tg in the same universality class of the Ising spin glass model.
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17

Franzese, Giancarlo, and Antonio Coniglio. "Phase transitions in the Potts spin-glass model." Physical Review E 58, no. 3 (September 1, 1998): 2753–59. http://dx.doi.org/10.1103/physreve.58.2753.

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18

Carlucci, Domenico M., and Jun-ichi Inoue. "Image restoration using the chiral Potts spin glass." Physical Review E 60, no. 3 (September 1, 1999): 2547–53. http://dx.doi.org/10.1103/physreve.60.2547.

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19

Janiš, V., and A. Klíč. "Equilibrium state of the mean-field Potts glass." Journal of Physics: Condensed Matter 23, no. 2 (December 9, 2010): 022204. http://dx.doi.org/10.1088/0953-8984/23/2/022204.

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20

Goldschmidt, Yadin Y. "The Potts spin-glass in a transverse field." Journal de Physique I 2, no. 1 (January 1992): 31–39. http://dx.doi.org/10.1051/jp1:1992116.

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21

Shim, G. M., D. Kim, and M. Y. Choi. "Potts-glass model of layered feedforward neural networks." Physical Review A 45, no. 2 (January 1, 1992): 1238–48. http://dx.doi.org/10.1103/physreva.45.1238.

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22

Yokota, Terufumi. "Intermediate glassy phase for the mean-field Potts glass model in a field." Physics Letters A 344, no. 2-4 (September 2005): 211–19. http://dx.doi.org/10.1016/j.physleta.2005.06.069.

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23

Jagannath, Aukosh, Justin Ko, and Subhabrata Sen. "Max $\kappa$-cut and the inhomogeneous Potts spin glass." Annals of Applied Probability 28, no. 3 (June 2018): 1536–72. http://dx.doi.org/10.1214/17-aap1337.

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24

Benyoussef, A., and M. Loulidi. "Short-range Potts spin-glass model: Renormalization-group method." Physical Review B 53, no. 13 (April 1, 1996): 8215–18. http://dx.doi.org/10.1103/physrevb.53.8215.

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25

Scheucher, M., J. D. Reger, and A. P. Young. "The Ground State of the 2-Dimensional Potts Glass." Europhysics Letters (EPL) 20, no. 4 (October 15, 1992): 343–47. http://dx.doi.org/10.1209/0295-5075/20/4/010.

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26

Yokota, Terufumi. "Ordered phase for the infinite-range Potts-glass model." Physical Review B 51, no. 2 (January 1, 1995): 962–71. http://dx.doi.org/10.1103/physrevb.51.962.

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27

Bollé, D., P. Dupont, and J. Huyghebaert. "Thermodynamic properties of theQ-state Potts-glass neural network." Physical Review A 45, no. 6 (March 1, 1992): 4194–97. http://dx.doi.org/10.1103/physreva.45.4194.

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28

Vollmayr, Katharina, Gernot Schreider, Joseph D. Reger, and Kurt Binder. "Static magnetic response of the three-state Potts glass." Journal of Non-Crystalline Solids 172-174 (September 1994): 488–90. http://dx.doi.org/10.1016/0022-3093(94)90477-4.

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29

Brangian, C., W. Kob, and K. Binder. "Evidence against a glass transition in the 10-state short-range Potts glass." Europhysics Letters (EPL) 59, no. 4 (August 2002): 546–51. http://dx.doi.org/10.1209/epl/i2002-00140-7.

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30

Scheucher, M., and J. D. Reger. "Monte Carlo study of the bimodal three-state Potts glass." Physical Review B 45, no. 5 (February 1, 1992): 2499–501. http://dx.doi.org/10.1103/physrevb.45.2499.

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31

Kirkpatrick, T. R., and D. Thirumalai. "Mean-field soft-spin Potts glass model: Statics and dynamics." Physical Review B 37, no. 10 (April 1, 1988): 5342–50. http://dx.doi.org/10.1103/physrevb.37.5342.

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32

Brangian, Claudio, Walter Kob, and Kurt Binder. "The high-temperature dynamics of a mean-field Potts glass." Philosophical Magazine B 82, no. 6 (April 2002): 663–68. http://dx.doi.org/10.1080/13642810208224357.

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33

Schreider, G., and J. D. Reger. "The q-state Potts-glass on d-dimensional hypercubic lattices." Journal of Physics A: Mathematical and General 27, no. 4 (February 21, 1994): 1079–97. http://dx.doi.org/10.1088/0305-4470/27/4/005.

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34

de Lima, Washington, G. Camelo-Neto, and S. Coutinho. "Strange attractor in the Potts spin glass on hierarchical lattices." Physics Letters A 377, no. 40 (November 2013): 2851–55. http://dx.doi.org/10.1016/j.physleta.2013.08.046.

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35

Brangian, Claudio. "Dynamical susceptibility from simulations of a mean field Potts glass." Physica A: Statistical Mechanics and its Applications 338, no. 3-4 (July 2004): 471–78. http://dx.doi.org/10.1016/j.physa.2003.12.057.

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36

Goldschmidt, Y. Y. "Exact solution of Potts random energy models with weak connectivity and of the many-states Potts spin glass." Journal of Physics A: Mathematical and General 22, no. 5 (March 7, 1989): L157—L162. http://dx.doi.org/10.1088/0305-4470/22/5/004.

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37

Kopeć, T. K., and G. Büttner. "Quantump-state Potts spin glass: Transverse-field effects and freezing transition." Physical Review B 44, no. 21 (December 1, 1991): 12058–61. http://dx.doi.org/10.1103/physrevb.44.12058.

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38

Xiong, Daxing, and Hong Zhao. "Estimates of storage capacity in theq-state Potts-glass neural network." Journal of Physics A: Mathematical and Theoretical 43, no. 44 (October 13, 2010): 445001. http://dx.doi.org/10.1088/1751-8113/43/44/445001.

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39

Goldschmidt, Yadin Y. "Mean-field theory of the Potts spin-glass with finite connectivity." Nuclear Physics B 295, no. 3 (March 1988): 409–21. http://dx.doi.org/10.1016/0550-3213(88)90362-8.

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40

Brangian, C., W. Kob, and K. Binder. "Static and dynamic glass transitions in the 10-state Potts glass: What can Monte Carlo simulations contribute?" Computer Physics Communications 146, no. 1 (June 2002): 9–15. http://dx.doi.org/10.1016/s0010-4655(02)00429-0.

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41

Bollé, D., and J. Huyghebaert. "Mixture states and storage of biased patterns in Potts-glass neural networks." Physical Review E 48, no. 3 (September 1, 1993): 2250–58. http://dx.doi.org/10.1103/physreve.48.2250.

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42

Goldschmidt, Yadin Y. "Fluctuation-driven first-order transition in the short-range Potts spin glass." Physical Review B 31, no. 7 (April 1, 1985): 4369–74. http://dx.doi.org/10.1103/physrevb.31.4369.

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43

Santis, E. De, G. Parisi, and F. Ritort. "On the static and dynamical transition in the mean-field Potts glass." Journal of Physics A: Mathematical and General 28, no. 11 (June 7, 1995): 3025–41. http://dx.doi.org/10.1088/0305-4470/28/11/008.

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44

Brangian, C., W. Kob, and K. Binder. "Ergodicity breaking in a mean field Potts glass: A Monte Carlo investigation." Computer Physics Communications 147, no. 1-2 (August 2002): 154–57. http://dx.doi.org/10.1016/s0010-4655(02)00235-7.

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45

Haas, Frank F., Katharina Vollmayr, and Kurt Binder. "The potts glass in uniform and random fields: a monte carlo investigation." Zeitschrift für Physik B Condensed Matter 99, no. 3 (March 1995): 393–400. http://dx.doi.org/10.1007/s002570050054.

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46

Lutchinskaia, E. A., and E. E. Tareyeva. "The Number of Metastable States in Potts Spin Glass with p = 3." Europhysics Letters (EPL) 17, no. 2 (January 7, 1992): 109–12. http://dx.doi.org/10.1209/0295-5075/17/2/004.

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47

Schreider, G., and J. D. Reger. "Upper and lower critical dimension of the three-state Potts spin glass." Journal of Physics A: Mathematical and General 28, no. 2 (January 21, 1995): 317–25. http://dx.doi.org/10.1088/0305-4470/28/2/009.

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48

Haas, Frank F., Katharina Vollmayr, and Kurt Binder. "The potts glass in uniform and random fields: a monte carlo investigation." Zeitschrift für Physik B Condensed Matter 99, no. 1 (March 1995): 393–400. http://dx.doi.org/10.1007/bf02769959.

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49

Lutchinskaia, E. A., and E. E. Tareyeva. "Distribution of local-minima energies in a three-state Potts spin glass." Physics Letters A 181, no. 4 (October 1993): 331–34. http://dx.doi.org/10.1016/0375-9601(93)90616-8.

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50

Bollé, D., P. Dupont, and J. Huyghebaert. "On the phase diagram of the Q-state Potts-glass neural network." Physica A: Statistical Mechanics and its Applications 185, no. 1-4 (June 1992): 363–68. http://dx.doi.org/10.1016/0378-4371(92)90476-7.

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