🔖 Exponential or power law? How to select a stable distribution of probability in a physical system

Andrea Di Vita

🔗 https://arxiv.org/pdf/1711.07811

📌 ABSTRACT
A mapping of nonextensive statistical mechanics into Gibbs' statistical mechanics exists, which leads to a generalization of Einstein's formula for fluctuations. A unified treatment of stability of relaxed states in nonextensive statistical mechanics and Gibbs' statistical mechanics follows. The former and the latter are endowed with probability distribution of microstates ruled by power laws and Boltzmann exponentials respectively. We apply our treatment to the relaxed states described by a 1D nonlinear FokkerPlanck equation. If the latter is associated to the stochastic differential equation obtained in the continuous limit from a 1D, autonomous, discrete map affected by noise, then we may ascertain whether if a relaxed state follow a power law distribution (and with which exponent) by looking at both map dynamics and noise level, with no assumptions concerning the additive or multiplicative nature of the noise and with no numerical computation of the orbits. Results agree with the simulations of Sanchez et al. EPJ 143.1 (2007) 141-143 concerning relaxation to a Pareto-like distribution.

🎞 The fifth Oxford Reproducibility Lecture:

EJ Wagenmakers on Bayesian statistics without tears:
http://neuroanatody.com/2017/11/oxford-reproducibility-lectures-ej-wagenmakers/

🎞 https://www.aparat.com/v/wDuxU

🧠 https://fivethirtyeight.com/features/the-media-has-a-probability-problem/amp/

#سمینار_عمومی این هفته
به تعادل رسیدن از دیدگاه هولوگرافی

-۳شنبه ۷ آذر: ساعت ۱۶
-تالار ابن هیثم، دانشکده فیزیک

کانال انجمن علمی دانشجویی فیزیک
@sbu_physics

The Great Lev Landau

🎞 https://github.com/curran/dataviz-course-archive

💪 https://www.vice.com/amp/en_au/article/43nzkp/the-math-that-shows-humans-could-live-ten-times-longer

پادکست
"اقتصاد در آغوش فیزیک"
اگه فعالیت اقتصادی دارید بهتره یکم فیزیک بدونید.
@Physics_Daily
#اقتصاد_در_آغوش_فیزیک

🧠 http://www.sitpor.org/2017/11/heros-feynman/

🔅 Weekly Seminar
Condensed Matter and Statistical Physics Group

Method for generating two coupled Gaussian stochastic processes

T. Jamali, School of Physics

Date : Wednesday , November 29, 2017
14:00 - 15:00

Denoscription
Seminar Room (classroom A), Farmanieh Building, IPM

به پیشنهاد احسان ایرانی:
https://plus.google.com/104141733621190998969

بلاگ خوب علمی؟ سافت بایتز! چند تا دانشجوی دکترا و پست‌داک فیزیکی در مورد فیزیک ماده چگال نرم یا به قولی «قسمت نرم‌تر علم» می‌نویسند. اگر به فیزیک آماری و نرم علاقه دارید، حتما مشتری‌شون می‌شوید:
https://softbites.org/