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Estimating entropy production from real observation data can be difficult due to finite resolution in both space and time and finite measurement statistics. We characterize the statistical error introduced by finite sample size and compare…

Statistical Mechanics · Physics 2025-04-09 Jonas H. Fritz , Benjamin Ertel , Udo Seifert

For a network of discrete states with a periodically driven Markovian dynamics, we develop an inference scheme for an external observer who has access to some transitions. Based on waiting-time distributions between these transitions, the…

Statistical Mechanics · Physics 2024-09-12 Alexander M. Maier , Julius Degünther , Jann van der Meer , Udo Seifert

A central task in stochastic thermodynamics is the estimation of entropy production for partially accessible Markov networks. We establish an effective transition-based description for such networks with transitions that are not…

Statistical Mechanics · Physics 2024-05-20 Benjamin Ertel , Udo Seifert

The number of observable degrees of freedom is typically limited in experiments. Here, we consider discrete Markov networks in which an observer has access to a few visible transitions and the waiting times between these transitions.…

Statistical Mechanics · Physics 2025-09-26 Alexander M. Maier , Udo Seifert , Jann van der Meer

Interpreting partial information collected from systems subject to noise is a key problem across scientific disciplines. Theoretical frameworks often focus on the dynamics of variables that result from coarse-graining the internal states of…

Statistical Mechanics · Physics 2022-08-18 Pedro E. Harunari , Annwesha Dutta , Matteo Polettini , Édgar Roldán

The inference of thermodynamic quantities from the description of an only partially accessible physical system is a central challenge in stochastic thermodynamics. A common approach is coarse-graining, which maps the dynamics of such a…

Statistical Mechanics · Physics 2022-08-19 Jann van der Meer , Benjamin Ertel , Udo Seifert

For continuous-time Markov jump processes on irreducible networks with time-independent rate constants, we employ a transition-based formalism to express the long-time precision of a single integrated current over an observable channel in…

Statistical Mechanics · Physics 2026-05-25 Alberto Garilli , Diego Frezzato

Observing stochastic trajectories with rare transitions between states, practically undetectable on time scales accessible to experiments, makes it impossible to directly quantify the entropy production and thus infer whether and how far…

Statistical Mechanics · Physics 2025-12-15 Marco Baiesi , Tomohiro Nishiyama , Gianmaria Falasco

A major goal of stochastic thermodynamics is to estimate the inevitable dissipation that accompanies particular observable phenomena in an otherwise not fully accessible system. Quantitative results are often formulated as lower bounds on…

Statistical Mechanics · Physics 2025-03-17 Malena T. Bauer , Udo Seifert , Jann van der Meer

For a Markovian dynamics on discrete states, the logarithmic ratio of waiting-time distributions between two successive, instantaneous transitions in forward and backward direction is a measure of time-irreversibility. It thus serves as an…

Statistical Mechanics · Physics 2024-06-13 Ellen Meyberg , Julius Degünther , Udo Seifert

Throughput and energy efficiency in fading channels are studied in the presence of randomly arriving data and statistical queueing constraints. In particular, Markovian arrival models including discrete-time Markov, Markov fluid, and…

Information Theory · Computer Science 2015-09-15 Mustafa Ozmen , M. Cenk Gursoy

Estimating entropy production in continuous systems that can only be observed with a limited resolution remains an open problem in stochastic thermodynamics. Extant estimators based on the measurement of waiting-time distributions require…

Statistical Mechanics · Physics 2026-03-06 Jonas H. Fritz , Udo Seifert

The entropy production rate is central to the study of non-equilibrium systems. This parameter is closely connected to violation of time-reversal symmetry, energy consumption, efficiency, and other properties of interest; in short, it…

Statistical Mechanics · Physics 2026-05-28 John W. Biddle

Large-scale traffic forecasting relies on fixed sensor networks that often exhibit blackouts: contiguous intervals of missing measurements caused by detector or communication failures. These outages are typically handled under a Missing At…

Machine Learning · Statistics 2026-01-07 Aman Sunesh , Allan Ma , Siddarth Nilol

Due to the evolving nature of power systems and the complicated coupling relationship of power devices, it has been a great challenge to identify the contingencies that could trigger cascading blackouts of power systems. This paper provides…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan

Estimating the transition dynamics of controlled Markov chains is crucial in fields such as time series analysis, reinforcement learning, and system exploration. Traditional non-parametric density estimation methods often assume independent…

Statistics Theory · Mathematics 2025-05-21 Imon Banerjee , Vinayak Rao , Harsha Honnappa

The thermodynamic behavior of Markovian open quantum systems can be described at the level of fluctuations by using continuous monitoring approaches. However, practical applications require assessing imperfect detection schemes, where the…

Change-point detection methods are proposed for the case of temporary failures, or transient changes, when an unexpected disorder is ultimately followed by a readjustment and return to the initial state. A base distribution of the…

Statistics Theory · Mathematics 2021-12-14 Baron Michael , Malov Sergey

We derive a thermodynamic uncertainty relation (TUR) for first-passage times (FPTs) on continuous time Markov chains. The TUR utilizes the entropy production coming from bidirectional transitions, and the net flux coming from unidirectional…

Statistical Mechanics · Physics 2021-08-11 Arnab Pal , Shlomi Reuveni , Saar Rahav

Measurements of any property of a microscopic system are bound to show significant deviations from the average, due to thermal fluctuations. For time-integrated currents such as heat, work or entropy production in a steady state, it is in…

Statistical Mechanics · Physics 2022-08-22 Sreekanth K Manikandan , Biswajit Das , Raunak Dey , Avijit Kundu , Ayan Banerjee , Supriya Krishnamurthy
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