- Jump Markov models and transition state theory: the quasi-stationary distribution approach
2016/01/01 by Giacomo Di Gesù, Tony Lelièvre, Dorian Le Peutrec +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Gene Regulatory Network Analysis #Jump #Jump process #Markov Chains and Monte Carlo Methods #Markov chain #Markov kernel #Markov model #Markov process #Markov property #Markov renewal process #State space #math-ph #math.AP #math.MP #math.PR #msc:35P20 #msc:60J60 #physics.chem-ph #stochastic dynamics and bifurcation
- Convergence of an infinite dimensional stochastic process to a spatially\n structured trait substitution sequence
2015/09/07 by Hélène Leman, Helene Leman, Leman, Helene · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Social Sciences · #Analysis of PDEs (math.AP) #Applied mathematics #Biology #Bounded function #Branching process #Brownian motion #Computer science #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Mathematics #Jump #Jump process #Mathematical analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Physics #Population #Probability (math.PR) #Rate of convergence #Sequence (biology) #Statistical physics #Statistics #Stochastic process #math.AP #math.PR
- Confinement by biased velocity jumps: aggregation of Escherichia coli
2014/04/02 by Vincent Calvez, Calvez, Vincent, Gaël Raoul +3 · 4 citations
Biochemistry, Genetics and Molecular Biology · Chemistry · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cauchy distribution #Chemistry #Classical mechanics #Exponential decay #Exponential function #Exponential growth #Gene Regulatory Network Analysis #Infinity #Initial value problem #Jump #Jump process #Kinetic energy #Mathematical Biology Tumor Growth #Mathematical analysis #Mathematics #Operator (biology) #Physics #Quantum mechanics #Stationary solution #Stationary state #Steady state (chemistry) #math.AP
- Weak convergence of marked point processes generated by crossings of multivariate jump processes. Applications to neural network modeling
2013/10/31 by Massimiliano Tamborrino, Laura Sacerdote, Martin Jacobsen · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Applied mathematics #Artificial intelligence #Artificial neural network #Boundary (topology) #Computer science #Convergence (economics) #Diffusion and Search Dynamics #Generalization #Jump #Jump process #Limit (mathematics) #Markov Chains and Monte Carlo Methods #Mathematical analysis #Mathematics #Multivariate statistics #Physics #Point process #Process (computing) #Statistical physics #Statistics #math.PR #stochastic dynamics and bifurcation
- A new approach to quantitative propagation of chaos for drift, diffusion and jump processes
2011/01/31 by Stéphane Mischler, Clément Mouhot, Bernt Wennberg · 1 citation
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Applied mathematics #Boltzmann constant #Boltzmann equation #Collision #Computer science #Consistency (knowledge bases) #Diffusion #Diffusion process #Gas Dynamics and Kinetic Theory #Jump #Jump diffusion #Jump process #Limit (mathematics) #Mathematical analysis #Mathematical finance #Mathematics #Nonlinear system #Physics #Stability (learning theory) #Statistical physics #Stochastic processes and financial applications #Thermodynamics #math.AP #math.PR
- Nonlinear SDEs driven by Lévy processes and related PDEs
2007/07/18 by Benjamin Jourdain, Jourdain, Benjamin, Sylvie Méléard +4 · 3 citations
Economics, Econometrics and Finance · Mathematics · #35S10 #60K35 #65C35 #Absolute continuity #Applied mathematics #Brownian motion #FOS: Mathematics #Financial Risk and Volatility Modeling #Jump #Jump process #Lebesgue integration #Lebesgue measure #Lipschitz continuity #Lévy process #Mathematical analysis #Mathematics #Measure (data warehouse) #Nonlinear system #Physics #Probability (math.PR) #Stochastic differential equation #Stochastic processes and financial applications #Stochastic processes and statistical mechanics #Uniqueness #math.PR #msc:35S10 #msc:60K35 #msc:65C35
- From Individual to Collective Behavior in Bacterial Chemotaxis
2004/01/01 by Radek Erban, Hans G. Othmer · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Chemotaxis #Differential equation #Geometry #Hyperbolic partial differential equation #Jump #Jump process #Mathematical Biology Tumor Growth #Mathematical analysis #Mathematics #Mechanics #Micro and Nano Robotics #Molecular Communication and Nanonetworks #Moment closure #Monte Carlo method #Ordinary differential equation #Partial differential equation #Physics #Population #Scaling #Statistical physics #Statistics
- Bulk diffusivity of lattice gases close to criticality
1995/04/01 by Herbert Spohn, Horng-Tzer Yau, Horng‐Tzer Yau · 2 citations
Materials Science · Mathematics · Physics and Astronomy · #Asymmetric simple exclusion process #Compressibility #Condensed matter physics #Critical point (mathematics) #Criticality #Hard core #Inverse #Inverse temperature #Jump #Jump process #Lattice (music) #Material Dynamics and Properties #Materials science #Mathematical analysis #Mathematics #Nuclear physics #Physics #Quantum mechanics #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermal diffusivity #Thermodynamics