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The past two decades have witnessed a surge of new research in the analysis of randomized experiments. The emergence of this literature may seem surprising given the widespread use and long history of experiments as the "gold standard" in…

Econometrics · Economics 2025-04-03 Yuehao Bai , Azeem M. Shaikh , Max Tabord-Meehan

Dynamical equations that are valid in the vicinity of the phase transition into the superconducting state are given. Probable effects of the field of charge carriers' magnetic interactions and the field of temperature fluctuations were…

Superconductivity · Physics 2023-12-05 L. A. Gosteva , M. Yu. Nalimov , A. S. Iashugin

We show that a recently introduced stochastic thermostat [J. Chem. Phys. 126 (2007) 014101] can be considered as a global version of the Langevin thermostat. We compare the global scheme and the local one (Langevin) from a formal point of…

Computational Physics · Physics 2008-06-06 Giovanni Bussi , Michele Parrinello

We give a brief introduction to the mode-coupling theory of the glass transition, a theory which was proposed a while ago to describe the dynamics of supercooled liquids. After presenting the basic equations of the theory, we review some of…

Statistical Mechanics · Physics 2008-02-03 W. Kob

Discussion of "A statistical analysis of multiple temperature proxies: Are reconstructions of surface temperatures over the last 1000 years reliable?" by B.B. McShane and A.J. Wyner [arXiv:1104.4002]

Applications · Statistics 2011-04-22 Martin P. Tingley

We theoretically study the laser cooling of cavity optomechanics when the mechanical resonance frequency and damping depend on time. In the regime of weak optomechanical coupling we extend the theory of laser cooling using an adiabatic…

Quantum Physics · Physics 2015-05-12 Marc Bienert , Pablo Barberis-Blostein

This is not in any way meant to be a complete survey on positive curvature. Rather it is a short essay on the fascinating changes in the landscape surrounding positive curvature. In particular, details and many results and references are…

Differential Geometry · Mathematics 2009-02-26 Karsten Grove

Asymptotic statistical theory for estimating functions is reviewed in a generality suitable for stochastic processes. Conditions concerning existence of a consistent estimator, uniqueness, rate of convergence, and the asymptotic…

Statistics Theory · Mathematics 2018-09-06 Jean Jacod , Michael Sørensen

We propose a new formulation of stochastic thermodynamics for systems subjected to nonequilibrium constraints (i.e. broken detailed balance at steady state) and furthermore driven by external time-dependent forces. A splitting of the second…

Statistical Mechanics · Physics 2015-05-18 Massimiliano Esposito , Christian Van den Broeck

In [SIAM J. Appl. Dyn. Sys., 12(4):2068--2092, 2013], Widiasih proposed and analyzed a deterministic one-dimensional Budyko-Sellers energy-balance model with a moving ice-line. In this paper, we extend this model to the stochastic setting…

Probability · Mathematics 2023-11-28 Ilya Pavlyukevich , Marian Ritsch

We develop the general quantum stochastic approach to the description of quantum measurements continuous in time. The framework, that we introduce, encompasses the various particular models for continuous-time measurements condsidered…

Quantum Physics · Physics 2007-05-23 Ole E. Barndorff-Nielsen , Elena R. Loubenets

First-order phase transition in a highly correlated electron system can manifest as a dynamic phenomenon. The presence of multiple domains of the coexisting phases average out the dynamical effects making it nearly impossible to predict the…

Mesoscale and Nanoscale Physics · Physics 2014-09-17 Devendra Kumar , K. P. Rajeev , J. A. Alonso , M. J. Martínez-Lope

These are lecture notes for a mini-course on stochastic sewing, taught at the University of Edinburgh and Beijing Institute of Technology in Spring/Summer 2025. The aim is to introduce the reader to stochastic sewing techniques and to show…

Probability · Mathematics 2025-10-15 Oleg Butkovsky

In this work, we consider a finite-state inhomogeneous-time Markov chain whose probabilities of transition from one state to another tend to decrease over time. This can be seen as a cooling of the dynamics of an underlying Markov chain. We…

Probability · Mathematics 2017-05-08 Florian Bouguet , Bertrand Cloez

Wearable devices are a trending topic in both commercial and academic areas. Increasing demand for innovation has led to increased research and new products, addressing new challenges and creating profitable opportunities. However, despite…

Human-Computer Interaction · Computer Science 2020-11-30 Vicente J. P. Amorim , Ricardo A. O. Oliveira , Mauricio Jose da Silva

In this talk I will introduce the principle of stochastic stability and discussing its consequences both at equilibrium and off-equilibrium.

Statistical Mechanics · Physics 2009-10-31 Giorgio Parisi

This is an extensive review of recent work on the foundations of statistical mechanics. Subject matters discussed include: interpretation of probability, typicality, recurrence, reversibility, ergodicity, mixing, coarse graining, past…

Statistical Mechanics · Physics 2008-04-03 Roman Frigg

We review recent work on systems with multiple interacting-particles having the dynamical feature of stochastic resetting. The interplay of time scales related to inter-particle interactions and resetting leads to a rich behavior, both…

Statistical Mechanics · Physics 2023-07-05 Apoorva Nagar , Shamik Gupta

Conventional studies of biomolecular behaviors rely largely on the construction of kinetic schemes. Since the selection of these networks is not unique, a concern is raised whether and under which conditions hierarchical schemes can reveal…

Molecular Networks · Quantitative Biology 2015-07-07 De-Ming Deng , Cheng-Hung Chang

The current status of asteroseismic studies is here reviewed and the adequate techniques of analysis available today for the study of the oscillation frequencies are presented. Comments on prospects for future investigations through the…

Solar and Stellar Astrophysics · Physics 2012-12-21 M. P. Di Mauro