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This paper establishes Fokker-Planck-Kolmogorov type equations for time-changed Gaussian processes. Examples include those equations for a time-changed fractional Brownian motion with time-dependent Hurst parameter and for a time-changed…

Probability · Mathematics 2010-11-11 Marjorie G. Hahn , Kei Kobayashi , Jelena Ryvkina , Sabir Umarov

We consider Fokker-Planck equations that interpolate a pair of supersymmetrically related Fokker-Planck equations with constant coefficients. Based on the interesting property of shape-invariance, various one-parameter interpolations of the…

Mathematical Physics · Physics 2024-04-23 Choon-Lin Ho

Comment on ``The 2005 Neyman Lecture: Dynamic Indeterminism in Science'' [arXiv:0808.0620]

Methodology · Statistics 2008-08-06 Grace L. Yang

Comment on ``The 2005 Neyman Lecture: Dynamic Indeterminism in Science'' [arXiv:0808.0620]

Methodology · Statistics 2008-08-06 Hans R. Künsch

Global time estimates of Lp-Lq norms of solutions to general strictly hyperbolic partial differential equations are considered. The case of special interest in this paper are equations exhibiting the dissipative behaviour. Results are…

Analysis of PDEs · Mathematics 2007-05-23 Michael Ruzhansky , James Smith

Supplementary Material for "Estimation of a Multiplicative Correlation Structure in the Large Dimensional Case"

Statistics Theory · Mathematics 2019-05-23 Christian M. Hafner , Oliver B. Linton , Haihan Tang

We investigate a subdiffusive, fractional Fokker-Planck dynamics occurring in time-varying potential landscapes and thereby disclose the failure of the fractional Fokker-Planck equation (FFPE) in its commonly used form when generalized in…

Statistical Mechanics · Physics 2007-10-17 E. Heinsalu , M. Patriarca , I. Goychuk , P. Hänggi

I give a comment on arXiv:1802.01804v3 [hep-ph]

High Energy Physics - Phenomenology · Physics 2018-07-19 Dirk Dubbers

We have derived a fractional Fokker-Planck equation for subdiffusion in a general space-and- time-dependent force field from power law waiting time continuous time random walks biased by Boltzmann weights. The governing equation is derived…

Statistical Mechanics · Physics 2010-10-27 B. I. Henry , T. A. M Langlands , P. Straka

Comment on "The Need for Syncretism in Applied Statistics" [arXiv:1012.1161]

Methodology · Statistics 2010-12-08 Sander Greenland

We develop a recursive method for perturbative solutions of the Fokker-Planck equation with nonlinear drift. The series expansion of the time-dependent probability density in terms of powers of the coupling constant is obtained by solving a…

Statistical Mechanics · Physics 2009-12-06 Jens Dreger , Axel Pelster , Bodo Hamprecht

Different analytical approximations to the time-dependent fission-decay width used to extract the influence of dissipation on the fission process are critically examined. Calculations with a new, highly realistic analytical approximation to…

Nuclear Experiment · Physics 2009-02-23 B. Jurado , K. -H. Schmidt , J. Benlliure

The paper investigates, in the framework of branching space-times, whether an infinite EPR-like correlation which does not involve finite EPR-like correlations is possible.

Quantum Physics · Physics 2007-05-30 Leszek Wroński , Tomasz Placek

Due to their intrinsic link with nonlinear Fokker-Planck equations and many other applications, distribution dependent stochastic differential equations (DDSDEs for short) have been intensively investigated. In this paper we summarize some…

Probability · Mathematics 2020-12-29 Xing Huang , Panpan Ren , Feng-Yu Wang

Discussion of "Feature Matching in Time Series Modeling" by Y. Xia and H. Tong [arXiv:1104.3073]

Methodology · Statistics 2012-01-09 Qiwei Yao

Discussion of "Feature Matching in Time Series Modeling" by Y. Xia and H. Tong [arXiv:1104.3073]

Methodology · Statistics 2012-01-09 Edward L. Ionides

Discussion of "Feature Matching in Time Series Modeling" by Y. Xia and H. Tong [arXiv:1104.3073]

Methodology · Statistics 2012-01-09 Kung-Sik Chan , Ruey S. Tsay

Discussion of "Feature Matching in Time Series Modeling" by Y. Xia and H. Tong [arXiv:1104.3073]

Methodology · Statistics 2012-01-09 Bruce E. Hansen

By studying the set of correlations that are theoretically possible between physical systems without allowing for signalling of information backwards in time, we here identify correlations that can only be achieved if the time ordering…

Quantum Physics · Physics 2021-01-22 Tom Holden-Dye , Sandu Popescu

This is a comment on "Universal Fluctuations in Correlated Systems", by Bramwell et al, Phys. Rev. Lett., 84, 3744 (2000.

Statistical Mechanics · Physics 2016-08-31 N. W. Watkins , S. C. Chapman , G. Rowlands