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We describe a controllable and unbiased strong-coupling diagrammatic Monte Carlo technique that is applicable to a wide range of fermionic systems and spin models. Unlike previous strong coupling methods that generally rely on the…

Strongly Correlated Electrons · Physics 2021-05-26 Johan Carlström

The performance of Markov chain Monte Carlo samplers strongly depends on the properties of the target distribution such as its covariance structure, the location of its probability mass and its tail behavior. We explore the use of bijective…

Methodology · Statistics 2024-08-06 Philip Schär , Michael Habeck , Daniel Rudolf

Sec I - Introduction Sec II - Equilibrium properties: generalities and methodology Sec III - Equilibrium properties: some important quantities Sec IV - Dynamical properties: heuristic approach Sec V - Dynamical properties: stochastic…

Statistical Mechanics · Physics 2009-06-30 J. L. Garcia-Palacios

This is a reply to the Comment on 'Spin Decoherence in Superconducting Atom Chips' [arXiv:quant-ph/0610095 (2006)].

Quantum Physics · Physics 2007-05-23 Bo-Sture K. Skagerstam , Ulrich Hohenester , Asier Eiguren , Per Kristian Rekdal

The book "Continuous-Time Markov Chains" by W. J. Anderson collects a large part of the development in the past thirty years. It is now a popular reference for the researchers on this subject or related fields. Unfortunately, due to a…

Probability · Mathematics 2015-01-22 Mu-Fa Chen

The paper presents some dynamical aspects of Rabinovich type, with distributed delay and with fractional derivatives.

Dynamical Systems · Mathematics 2007-11-08 Oana Chis , Mircea Puta

Markov chain Monte Carlo is widely used in a variety of scientific applications to generate approximate samples from intractable distributions. A thorough understanding of the convergence and mixing properties of these Markov chains can be…

Methodology · Statistics 2023-05-23 Saptarshi Chakraborty , Kshitij Khare

The partition function of a factor graph can sometimes be accurately estimated by Monte Carlo methods. In this paper, such methods are extended to factor graphs with negative and complex factors.

Computation · Statistics 2012-10-09 Mehdi Molkaraie , Hans-Andrea Loeliger

A common tool in the practice of Markov Chain Monte Carlo is to use approximating transition kernels to speed up computation when the desired kernel is slow to evaluate or intractable. A limited set of quantitative tools exist to assess the…

Probability · Mathematics 2026-01-14 Jeffrey Negrea , Jeffrey S. Rosenthal

The use of the Bayesian tools in system identification and model updating paradigms has been increased in the last ten years. Usually, the Bayesian techniques can be implemented to incorporate the uncertainties associated with measurements…

Computational Engineering, Finance, and Science · Computer Science 2017-10-27 M. Sherri , I. Boulkaibet , T. Marwala , M. I. Friswell

This manuscript contains technical details of recent results developed by the authors on adaptive model predictive control for constrained linear, time varying systems.

Systems and Control · Computer Science 2017-12-21 M. Tanaskovic , L. Fagiano , V. Gligorovski

Given a matrix of distribution functions and a quasi-stochastic matrix, i.e. an irreducible nonnegative matrix with maximal eigenvalue one and associated unique positive left and right eigenvectors, the article studies the properties of an…

Probability · Mathematics 2015-08-28 Gerold Alsmeyer

Comment on "Classical Simulations Including Electron Correlations for Sequential Double Ionization" [arXiv:1204.3956]

Chaotic Dynamics · Physics 2012-08-16 Cristel Chandre , Adam Kamor , Francois Mauger , Turgay Uzer

Markov basis for statistical model of contingency tables gives a useful tool for performing the conditional test of the model via Markov chain Monte Carlo method. In this paper we derive explicit forms of Markov bases for change point…

Statistics Theory · Mathematics 2013-01-14 Mitsunori Ogawa , Akimichi Takemura

The paper considers a stochastic differential equation of Duffing type with Markov coefficients. The existence of unpredictable solutions is considered. The unpredictability is a property of bounded functions characterized by unbounded…

Chaotic Dynamics · Physics 2023-03-31 Marat Akhmet , Madina Tleubergenova , Akylbek Zhamanshin

Several conjectural continued fractions found with the help of various algorithms are published in this paper.

Number Theory · Mathematics 2017-04-14 Thomas Baruchel

We give a closed form of the discrete-time evolution of a recombination transformation in population genetics. This decomposition allows to define a Markov chain in a natural way. We describe the geometric decay rate to the limit…

Probability · Mathematics 2016-03-24 Servet Martinez

Estimation and prediction in high dimensional multivariate factor stochastic volatility models is an important and active research area because such models allow a parsimonious representation of multivariate stochastic volatility. Bayesian…

Computation · Statistics 2021-04-27 David Gunawan , Robert Kohn , David Nott

In model checking, a counterexample is considered as a valuable tool for debugging. In Probabilistic Model Checking (PMC), counterexample generation has a quantitative aspect. The counterexample in PMC is a set of paths in which a path…

Software Engineering · Computer Science 2016-08-30 Hichem Debbi

We establish a new Bernstein-type deviation inequality for general (non-reversible) discrete-time Markov chains via an elementary approach. More robust than existing works in the literature, our result only requires the Markov chain to…

Probability · Mathematics 2025-10-07 De Huang , Xiangyuan Li