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We perform the sensitivity analysis of a level-dependent QBD with a particular focus on applications in modelling healthcare systems.

Probability · Mathematics 2023-02-07 Anna Aksamit , Małgorzata M. O'Reilly , Zbigniew Palmowski

We consider an optomechanical system composed by a trapped ion dispersively coupled to a single mode of a pumped optical cavity. We focus in a parameter range for which the semiclassical description predicts two clearly distinct equilibrium…

Quantum Physics · Physics 2021-10-27 Alan Kahan , Leonardo Ermann , Cecilia Cormick

We address a simple connection between results of Hamiltonian nonlinear dynamical theory and thermostatistics. Using a properly defined dynamical temperature in low-dimensional symplectic maps, we display and characterize long-standing…

Statistical Mechanics · Physics 2015-06-24 Fulvio Baldovin , Edgardo Brigatti , Constantino Tsallis

We developed a three-center phenomenological model,able to explain qualitatively the recently obtained experimental results concerning the quasimolecular stage of a light-particle accompanied fission process. It was derived from the liquid…

Nuclear Theory · Physics 2015-06-26 D. N. Poenaru , B. Dobrescu , W. Greiner , J. H. Hamilton , A. V. Ramayya

We introduce the notion of Quasi-Stationary State (QSS) in the context of quantum Markov semigroups that generalizes the one of quasi-stationary distribution in the case of classical Markov chains. We provide an operational interpretation…

Quantum Physics · Physics 2025-08-11 Ameur Dhahri , Franco Fagnola , Federico Girotti , Hyun Jae Yoo

We propose a novel estimation approach for a general class of semi-parametric time series models where the conditional expectation is modeled through a parametric function. The proposed class of estimators is based on a Gaussian…

Methodology · Statistics 2025-07-21 Mirko Armillotta , Paolo Gorgi

The critical phenomena associated to the liquid to solid transition of quasi-two-dimensional vibrated granular systems is studied using molecular dynamics simulations of the inelastic hard sphere model. The critical properties are…

Soft Condensed Matter · Physics 2018-02-14 Marcelo Guzman , Rodrigo Soto

We characterise all the quasi-stationary distributions and the Q-process associated with a continuous state branching process that explodes in finite time. We also provide a rescaling for the continuous state branching process conditioned…

Probability · Mathematics 2013-10-17 Cyril Labbé

The present paper is devoted to the investigation of the long term behavior of a class of singular multi-dimensional diffusion processes that get absorbed in finite time with probability one. Our focus is on the analysis of quasi-stationary…

Probability · Mathematics 2021-02-12 Alexandru Hening , Weiwei Qi , Zhongwei Shen , Yingfei Yi

An effective two-stage method for an estimation of parameters of the linear regression is considered. For this purpose we introduce a certain quasi-estimator that, in contrast to usual estimator, produces two alternative estimates. It is…

Statistics Theory · Mathematics 2010-10-06 Anatoly Gordinsky

Due to structural incommensurability, the emergence of a quasicrystal from a crystalline phase represents a challenge to computational physics. Here the nucleation of quasicrystals is investigated by using an efficient computational method…

Materials Science · Physics 2022-01-05 Jianyuan Yin , Kai Jiang , An-Chang Shi , Pingwen Zhang , Lei Zhang

We study a two parameter ($u,p$) extension of the conformally invariant raise and peel model. The model also represents a nonlocal and biased-asymmetric exclusion process with local and nonlocal jumps of excluded volume particles in the…

Statistical Mechanics · Physics 2017-05-04 D. A. C. Jara , F. C. Alcaraz

We develop a semi-classical method to simulate the motion of atoms in a dissipative optical lattice. Our method treats the internal states of the atom quantum mechanically, including all nonadiabatic couplings, while position and momentum…

Atomic Physics · Physics 2009-11-11 S. Jonsell , C. M. Dion , M. Nylén , S. J. H. Petra , P. Sjölund , A. Kastberg

Experimental studies of synthetic quantum matter are necessarily restricted to approximate ground states prepared on finite-size quantum simulators. In general, this limits their reliability for strongly correlated systems, for instance, in…

We demonstrate a fast, robust and non-destructive protocol for quantum state estimation based on continuous weak measurement in the presence of a controlled dynamical evolution. Our experiment uses optically probed atomic spins as a…

Quantum Physics · Physics 2009-11-13 Greg A. Smith , Andrew Silberfarb , Ivan H. Deutsch , Poul S. Jessen

Quasi-stationary distributions (QSD) have been widely studied since the pioneering work of Kolmogorov (1938), Yaglom (1947) and Sevastyanov (1951). They appear as a natural object when considering Markov processes that are certainly…

Probability · Mathematics 2012-06-29 Pablo Groisman , Matthieu Jonckheere

We study the emergence of quasicrystal configurations produced purely by quantum fluctuations in the ground-state phase diagram of interacting bosonic systems. By using a variational mean-field approach, we determine the relevant features…

Quantum Gases · Physics 2025-02-25 A. Mendoza-Coto , R. Turcati , V. Zampronio , R. Díaz-Méndez , T. Macrì , F. Cinti

We prove under mild conditions that the Fleming-Viot process selects the minimal quasi-stationary distribution for Markov processes with soft killing on non-compact state spaces. Our results are applied to multi-dimensional birth and death…

Probability · Mathematics 2018-10-17 Nicolas Champagnat , Denis Villemonais

We propose and analyze a sample-efficient protocol to estimate the fidelity between an experimentally prepared state and an ideal target state, applicable to a wide class of analog quantum simulators without advanced sophisticated…

Quantum Physics · Physics 2023-09-14 Daniel K. Mark , Joonhee Choi , Adam L. Shaw , Manuel Endres , Soonwon Choi

We study a new non-equilibrium dynamical model: a marked continuous contact model in $d$-dimensional space ($d \ge 3$). We prove that for certain values of rates (the critical regime) this system has the one-parameter family of invariant…

Mathematical Physics · Physics 2016-02-18 Yuri Kondratiev , Sergey Pirogov , Elena Zhizhina