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Computers & Industrial Engineering, ISSN 0360-8352, 10/2019, Volume 136, pp. 160 - 172
•The MCMC tip selection algorithm has good properties.•In the Tangle model, there are “almost symmetric” Nash equilibria.•The “selfish” players will... 
Directed acyclic graph | IOTA | Primary 91A15 | Random walk | Tip selection | Nash equilibrium | Cryptocurrency | 68M14 | Secondary 60J20 | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, INDUSTRIAL
Journal Article
Probability Surveys, ISSN 1549-5787, 2007, Volume 4, Issue 1, pp. 1 - 79
Probability Surveys 2007, Vol. 4, 1-79 The models surveyed include generalized P\'{o}lya urns, reinforced random walks, interacting urn models, and continuous... 
Reinforced random walk | Urn model | Ṕolya's urn | VRRW | Dynamical system | Stochas-tic approximation | Self-avoiding walk | Agent-based model | Learning | Urn scheme | ERRW | Evo-lutionary game theory | Exchangeability | Lyapunov function | Mathematics - Probability
Journal Article
Journal of the Royal Statistical Society. Series B, Statistical methodology, ISSN 1369-7412, 1/2014, Volume 76, Issue 1, pp. 29 - 46
Journal Article
The American Mathematical Monthly, ISSN 0002-9890, 10/2018, Volume 125, Issue 9, pp. 771 - 796
Service sports include two-player contests such as volleyball, badminton, and squash. We analyze four rules, including the Standard Rule (SR), in which a... 
MSC: Primary 60J20 | Secondary 91A80 | 91A20 | MATHEMATICS | ADVANTAGE
Journal Article
Nonlinearity, ISSN 0951-7715, 08/2012, Volume 25, Issue 8, pp. 2303 - 2335
We study the stochastic FitzHugh-Nagumo equations, modelling the dynamics of neuronal action potentials in parameter regimes characterized by mixed-mode... 
CHAOS | MATHEMATICS, APPLIED | SINGULAR HOPF-BIFURCATION | STATES | EXCITABLE SYSTEMS | RESONANCE | TIMES | HODGKIN-HUXLEY MODEL | NOISE | PHYSICS, MATHEMATICAL | RELAXATION OSCILLATIONS | NEURONAL MODEL | Intervals | Asymptotic properties | Mathematical analysis | Eigenvalues | Oscillations | Mathematical models | Stochasticity | Statistics | Probability | Dynamical Systems | Mathematics
Journal Article
Journal of applied probability, ISSN 0021-9002, 06/2014, Volume 51, Issue 2, pp. 542 - 555
We characterise the class of distributions of random stochastic matrices X with the property that the products X(n)X(n − 1) · · · X(1) of independent and... 
Markov chain | Products of random matrices | Limit distribution | Random exchange model | Random nested simplices | Dirichlet distribution | Service networks with polling | limit distribution | 60J20 | 60F99 | random nested simplices | 60B20 | 60J05 | random exchange model | service networks with polling
Journal Article
The Annals of Applied Probability, ISSN 1050-5164, 8/2008, Volume 18, Issue 4, pp. 1351 - 1378
Journal Article
Stochastic Processes and their Applications, ISSN 0304-4149, 02/2020, Volume 130, Issue 2, pp. 1041 - 1073
We study two types of Metropolis–Hastings (MH) reversiblizations for non-reversible Markov chains with Markov kernel P. While the first type is the classical... 
Variance bounds | Metropolis–Hastings algorithm | Spectral gap | Non-reversible Markov chain | Mixing time | Weyl’s inequality | Weyl's inequality | STATISTICS & PROBABILITY | Metropolis-Hastings algorithm | Mathematics - Probability
Journal Article
Mathematics of operations research, ISSN 0364-765X, 11/2019
Journal Article
The Annals of applied probability, ISSN 1050-5164, 4/2015, Volume 25, Issue 2, pp. 477 - 522
We study the SIR epidemic model with infections carried by k particles making independent random walks on a random regular graph. Here we assume k ≤ n𝜖, where... 
Epidemics | Random graphs | Random walks | STATISTICS & PROBABILITY | random graphs | INFECTION | epidemics | COVER TIME | Mathematics - Probability | 60J20 | 05C81 | 05C80
Journal Article
Journal of Mathematical Biology, ISSN 0303-6812, 3/2019, Volume 78, Issue 4, pp. 1033 - 1065
This paper is based on the complete classification of evolutionary scenarios for the Moran process with two strategies given by Taylor et al. (Bull Math Biol... 
60J20 | 91A22 | Mathematical and Computational Biology | 92D15 | Birth death processes | Markov chains | Mathematics | Applications of Mathematics | Asymptotic analysis | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | COOPERATION | VIEW | Usage | Analysis | Stochastic processes | Population biology | Fixation | Asymptotic properties | Classification | Probability | Population number | Evolution | Game theory
Journal Article
Journal of Mathematical Biology, ISSN 0303-6812, 11/2017, Volume 75, Issue 5, pp. 1285 - 1317
Journal Article
Journal of Applied Analysis, ISSN 1425-6908, 06/2018, Volume 24, Issue 1, pp. 99 - 107
In this paper, we investigate deficit distributions at ruin in a regime-switching Sparre Andersen model. A Markov chain is assumed to switch the amount and/or... 
risk operators | NBU | 60J20 | Regime-switching Sparre Andersen model | ruin probabilities | deficit distributions at ruin | 91B30 | Mathematical analysis | Markov analysis
Journal Article
Journal Article
The Annals of Applied Probability, ISSN 1050-5164, 6/2012, Volume 22, Issue 3, pp. 881 - 930
Diffusion limits of MCMC methods in high dimensions provide a useful theoretical tool for studying computational complexity. In particular, they lead directly... 
Brownian motion | Approximation | Covariance | Random walk | Metropolitan areas | Markov chains | Hilbert spaces | Coordinate systems | Random variables | Martingales | Optimal convergence time | Scaling limits | Markov chain Monte Carlo | Stochastic PDEs | optimal convergence time | stochastic PDEs | SPDES | scaling limits | APPROXIMATION | INVERSE PROBLEMS | STATISTICS & PROBABILITY | CHAINS | 60J20 | 65C40 | 65C05 | 60H15 | 60J22
Journal Article
Journal of applied probability, ISSN 0021-9002, 03/2012, Volume 49, Issue 1, pp. 114 - 136
We consider the problem of twenty questions with noisy answers, in which we seek to find a target by repeatedly choosing a set, asking an oracle whether the... 
Bisection | Entropy loss | Object detection | Search | Bayesian experimental design | Dynamic programming | Twenty questions | Sequential experimental design | dynamic programing | 60J20 | search | bisection | sequential experimental design | 62C10 | 90C39 | object detection | entropy loss | 90B40
Journal Article
Annals of Operations Research, ISSN 0254-5330, 12/2016, Volume 247, Issue 1, pp. 257 - 289
As a model of a service center with multiple servers and prioritized impatient customers served in reverse order of arrival such as the 9-1-1 call center in... 
60J20 | Impatient customers | Theory of Computation | Last-come first-served | Abandonment | Waiting time | Multiserver | 90B22 | Business and Management | Nonpreemptive priority | Operation Research/Decision Theory | 60K25 | Combinatorics | Queue | Polite customers
Journal Article
The Annals of Applied Probability, ISSN 1050-5164, 12/2012, Volume 22, Issue 6, pp. 2320 - 2356
Journal Article
Journal of Mathematical Biology, ISSN 0303-6812, 2/2018, Volume 76, Issue 3, pp. 645 - 678
Journal Article
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