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Recently Belopolskaya and Suhov studied Markov process's in a random environment, where the environment changes in likeness to a Markov process. Constructions were made to allow the process to "interact with the environment", this was done…

Probability · Mathematics 2017-04-07 Anirban Das

Modifiable combining functions are a synthesis of two common approaches to combining evidence. They offer many of the advantages of these approaches and avoid some disadvantages. Because they facilitate the acquisition, representation,…

Artificial Intelligence · Computer Science 2013-04-11 Paul Cohen , Glenn Shafer , Prakash P. Shenoy

The kinetics of the multicomponent condensation after the instantaneous creation of the metastable state is described analytically. Manydimensional problem is reduced to the one-dimensional case. All the main characteristics of the process…

Condensed Matter · Physics 2007-05-23 V. Kurasov

The kinematical characteristics of fragments and light particles observed in central highly fragmented nuclear collisions at intermediate energies are compared with the results of a model assuming that the initial momentum distribution of…

Nuclear Experiment · Physics 2007-05-23 A. Van Lauwe , D. Durand et al

The explosion of the amount of data stored in cloud systems calls for more efficient paradigms for redundancy. While replication is widely used to ensure data availability, erasure correcting codes provide a much better trade-off between…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-16 Steve Jiekak , Anne-Marie Kermarrec , Nicolas Le Scouarnec , Gilles Straub , Alexandre Van Kempen

Reversibility, weak reversibility and deficiency, detailed and complex balancing are generally not "encoded" in the kinetic differential equations but they are realization properties that may imply local or even global asymptotic stability…

Molecular Networks · Quantitative Biology 2011-05-11 Gabor Szederkenyi , Katalin M. Hangos

We construct a family of processes, from a renewal process, that have realizations that converge almost surely to the Brownian motion, uniformly on the unit time interval. Finally we compute the rate of convergence in a particular case.

Probability · Mathematics 2022-12-13 Xavier Bardina , Carles Rovira

We consider a disentanglement process in which local properties of an entangled state are preserved, while the entanglement between the subsystems is erased. Sufficient conditions for a perfect disentanglement (into product states and into…

Quantum Physics · Physics 2008-12-18 Tal Mor , Daniel R. Terno

The present article introduces a reference framework for discussing resilience of computational systems. Rather than a property that may or may not be exhibited by a system, resilience is interpreted here as the emerging result of a dynamic…

Systems and Control · Computer Science 2015-04-13 Vincenzo De Florio

This dissertation introduces executable refinement types, which refine structural types by semi-decidable predicates, and establishes their metatheory and accompanying implementation techniques. These results are useful for undecidable type…

Programming Languages · Computer Science 2014-03-14 Kenneth Knowles

Recently, many nucleon spin decompositions have been proposed in the literature, creating a lot of confusion. This revived in particular old controversies regarding the measurability of theoretically defined quantities. We propose a brief…

High Energy Physics - Phenomenology · Physics 2015-06-18 Cédric Lorcé

We consider an interacting particle system on $\Z^d$ with finite state space and interactions of infinite range in a high-noise regime. Assuming that the rate of change is continuous and that a Dobrushin-like condition holds, we show that…

Probability · Mathematics 2011-03-01 Eva Loecherbach

Motility is characteristic of life, but a common basis for movement has remained to be identified. Diverse systems in motion shift between two states depending on interactions that turnover at the rate of an applied cycle of force. Although…

Subcellular Processes · Quantitative Biology 2015-11-03 Henry G. Zot , Javier E. Hasbun , Nguyen Van Minh

We consider a multi-particle generalization of linear edge-reinforced random walk (ERRW). We observe that in absence of exchangeability, new techniques are needed in order to study the multi-particle model. We describe an unusual coupling…

Probability · Mathematics 2007-05-23 Yevgeniy Kovchegov

A binary renewal process is a stochastic process $\{X_n\}$ taking values in $\{0,1\}$ where the lengths of the runs of 1's between successive zeros are independent. After observing ${X_0,X_1,...,X_n}$ one would like to predict the future…

Probability · Mathematics 2008-11-14 Gusztáv Morvai , Benjamin Weiss

We study a class of Markov processes that combine local dynamics, arising from a fixed Markov process, with regenerations arising at a state-dependent rate. We give conditions under which such processes possess a given target distribution…

Probability · Mathematics 2021-04-06 Andi Q. Wang , Murray Pollock , Gareth O. Roberts , David Steinsaltz

Let $X$ be a continuous-time strongly mixing or weakly dependent process and $T$ a renewal process independent of $X$ with inter-arrival times $\tau$. We show general conditions under which the sampled process $(X_{T_i},T_i-T_{i-1})^{\top}$…

Statistics Theory · Mathematics 2022-02-02 Dirk-Philip Brandes , Imma Valentina Curato , Robert Stelzer

In the last decades the problem of metastability has been attacked on rigorous grounds via many different approaches and techniques which are briefly reviewed in this paper. It is then useful to understand connections between different…

Probability · Mathematics 2017-03-03 Emilio N. M. Cirillo , Francesca R. Nardi , Julien Sohier

The situation of the metastable phase decay on the several types of heterogeneous centers is considered. The iteration procedure is formulated and with the help of the avalanche consumption property all iterations can be calculated. The…

Statistical Mechanics · Physics 2007-05-23 V. Kurasov

The analysis of intermittent data is improved. The standard method of recovering the history of a particle cascade is proved in general not to reproduce the structure of the true cascade. The recovering corrections to the standard method…

High Energy Physics - Phenomenology · Physics 2011-09-13 B. Ziaja