Nonextensive Statistical Mechanics

More documents

Recommendations

Info

7.4 Computer Sciences 279Fig. 7.80 Top panel: After processing (of the EEG signal) which includes the use of the entropicfunctional S q , the precise location of the tonic–clonic transition becomes very visible. Bottompanel: The effect is even more pronounced for values of q going below unity (from [744]).7.4.3 Analysis of ImagesVarious applications exist in the literature concerning image processing, such assegmentation or thresholding (see Fig. 7.81), edge detection (see Fig. 7.82), fusion(see Fig. 7.83), images for Magnetic Resonance and Computed Tomography (seeFig. 7.84), facial expression recognition (see Fig. 7.85), among others [755–772].
Page 2:
Introduction to Nonextensive Statis
Page 6:
Constantino TsallisCentro Brasileir
Page 10:
PrefaceIn 1902, after three decades
Page 14:
Prefaceixequation inspired by the p
Page 18:
Prefacexinearby. 4 Nonextensive sta
Page 22:
Prefacexiiicircular epicycles. So w
Page 26:
ContentsPart IBasics or How the The
Page 30:
Contentsxvii5.2 Low-Dimensional Con
Page 34:
Part IBasics or How the Theory Work
Page 38:
4 1 Historical Background and Physi
Page 42:
Page 46:
Page 50:
10 1 Historical Background and Phys
Page 54:
Page 58:
Page 62:
Page 66:
Chapter 2Learning with Boltzmann-Gi
Page 70:
2.1 Boltzmann-Gibbs Entropy 212.1.2
Page 74:
2.1 Boltzmann-Gibbs Entropy 232.1.2
Page 78:
2.1 Boltzmann-Gibbs Entropy 25where
Page 82:
2.1 Boltzmann-Gibbs Entropy 27the s
Page 86:
2.2 Kullback-Leibler Relative Entro
Page 90:
2.3 Constraints and Entropy Optimiz
Page 94:
2.4 Boltzmann-Gibbs Statistical Mec
Page 98:
2.4 Boltzmann-Gibbs Statistical Mec
Page 102:
Chapter 3Generalizing What We Learn
Page 106:
3.1 Playing with Differential Equat
Page 110:
3.2 Nonadditive Entropy S q 41We sh
Page 114:
3.2 Nonadditive Entropy S q 43This
Page 118:
3.2 Nonadditive Entropy S q 453.2.2
Page 122:
3.2 Nonadditive Entropy S q 47we ca
Page 126:
3.2 Nonadditive Entropy S q 49S BG
Page 130:
3.2 Nonadditive Entropy S q 51with
Page 134:
3.2 Nonadditive Entropy S q 53whose
Page 138:
3.3 Correlations, Occupancy of Phas
Page 142:
Page 146:
Page 150:
Page 154:
Page 158:
Page 162:
Page 166:
Page 170:
Page 174:
Page 178:
Page 182:
Page 186:
Page 190:
Page 194:
Page 198:
3.4 q-Generalization of the Kullbac
Page 202:
3.4 q-Generalization of the Kullbac
Page 206:
3.5 Constraints and Entropy Optimiz
Page 210:
3.6 Nonextensive Statistical Mechan
Page 214:
Page 218:
Page 222:
Page 226:
3.7 About the Escort Distribution a
Page 230:
3.7 About the Escort Distribution a
Page 234:
3.8 About Universal Constants in Ph
Page 238:
3.9 Various Other Entropic Forms 10
Page 242:
Part IIFoundations or Why the Theor
Page 246:
110 4 Stochastic Dynamical Foundati
Page 250:
Page 254:
Page 258:
Page 262:
Page 266:
Page 270:
Page 274:
Page 278:
Page 282:
Page 286:
Page 290:
Page 294:
Page 298:
Page 302:
Page 306:
Page 310:
Page 314:
Page 318:
Page 322:
Page 326:
Page 330:
152 5 Deterministic Dynamical Found
Page 334:
Page 338:
Page 342:
Page 346:
Page 350:
Page 354:
Page 358:
Page 362:
10 -5 1 10 100 100010 -5 1 10 100 1
Page 366:
Page 370:
Page 374:
Page 378:
Page 382:
Page 386:
Page 390:
Page 394:
Page 398:
Page 402:
Page 406:
Page 410:
Page 414:
Page 418:
Page 422:
Page 426:
Page 430:
Page 434:
Page 438:
Page 442:
Chapter 6Generalizing Nonextensive
Page 446:
6.2 Further Generalizing 211dydx =
Page 450:
6.2 Further Generalizing 213∫ W{
Page 454:
6.2 Further Generalizing 215Then, f
Page 458:
6.2 Further Generalizing 217If f (
Page 462:
Part IIIApplications or What for th
Page 466:
222 7 Thermodynamical and Nonthermo
Page 470:
Page 474:
Page 478:
Page 482:
Page 486:
Page 490:
Page 494:
Page 498:
Page 502:
Page 506:
Page 510:
Page 514:
Page 518:
Page 522:
Page 526:
Page 530: 254 7 Thermodynamical and Nonthermo
Page 584: 7.5 Biosciences 281Fig. 7.82 Image
Page 588: 7.8 Scale-Free Networks 283Fig. 7.8
Page 592: 7.8 Scale-Free Networks 285a1b1cumu
Page 612: 7.10 Other Sciences 295Fig. 7.102 S
Page 616: 7.10 Other Sciences 297Fig. 7.105 F
Page 620: 7.10 Other Sciences 299Fig. 7.109 Z
Page 624: 7.10 Other Sciences 301Fig. 7.112 C
Page 628: Chapter 8Final Comments and Perspec
Page 632:
8.1 Falsifiable Predictions and Con
Page 636:
8.2 Frequently Asked Questions 309i
Page 640:
8.2 Frequently Asked Questions 311B
Page 644:
8.2 Frequently Asked Questions 313(
Page 648:
8.2 Frequently Asked Questions 315o
Page 652:
8.2 Frequently Asked Questions 317p
Page 656:
8.2 Frequently Asked Questions 319n
Page 660:
8.2 Frequently Asked Questions 321L
Page 664:
8.2 Frequently Asked Questions 323(
Page 668:
8.2 Frequently Asked Questions 3254
Page 672:
8.3 Open Questions 327This is a fre
Page 676:
330 Appendix A Useful Mathematical
Page 680:
Page 684:
Page 688:
336 Appendix B Escort Distributions
Page 692:
Page 696:
Page 700:
Bibliography1. J.W. Gibbs, Elementa
Page 704:
Bibliography 34541. A. Rapisarda an
Page 708:
Bibliography 34784. A.N. Kolmogorov
Page 712:
Bibliography 349123. T. Schneider,
Page 716:
Bibliography 351178. A. Campa, A. G
Page 720:
Bibliography 353230. S. Abe and A.K
Page 724:
Bibliography 355279. K. Briggs and
Page 728:
Bibliography 357329. T. Kodama, H.-
Page 732:
Bibliography 359Italy), eds. C. Bec
Page 736:
Bibliography 361431. M.J.A. Bolzan,
Page 740:
Bibliography 363479. T. Cattaert, M
Page 744:
Bibliography 365528. P.H. Chavanis,
Page 748:
Bibliography 367579. G.A. Tsekouras
Page 752:
Bibliography 369631. J. Schulte, No
Page 756:
Bibliography 371678. D. Fuks, S. Do
Page 760:
Bibliography 373723. L.J. Yang, M.P
Page 764:
Bibliography 375767. S. Sun, L. Zha
Page 768:
Bibliography 377813. S. Abe, Tsalli
Page 772:
Bibliography 379862. S. Boccaletti,
Page 776:
382 IndexKekule, ixKepler, xiiKrylo
show all

Nonextensive Statistical Mechanics

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?