Statistical physics, Mathematical analysis, Random energy model, Metastability and Tight binding are his primary areas of study. His research in the fields of Statistical mechanics overlaps with other disciplines such as Glauber. His Mathematical analysis study integrates concerns from other disciplines, such as Extreme value theory and Brownian motion.
Anton Bovier has included themes like Gibbs measure, Dynamics, Prime and Reference model in his Random energy model study. His research in Metastability intersects with topics in Theoretical computer science, Saddle point, Markov chain and Maxima and minima. His Markov chain research incorporates themes from Stochastic process, Laplace transform, Exponential distribution and Combinatorics.
His scientific interests lie mostly in Statistical physics, Metastability, Mathematical analysis, Mean field theory and Mathematical physics. His studies deal with areas such as Random energy model, Gaussian and Random field as well as Statistical physics. His studies examine the connections between Metastability and genetics, as well as such issues in Markov chain, with regards to Exponential distribution and Markov process.
He interconnects Almost surely, Gumbel distribution and Brownian motion in the investigation of issues within Mathematical analysis. His research integrates issues of Spin glass, Type, Rate function and Spin-½ in his study of Mean field theory. His Mathematical physics study incorporates themes from Logarithm, Perturbation theory, Hamiltonian and Sigma.
His main research concerns Statistical physics, Brownian motion, Metastability, Mutation and Markov process. He integrates many fields in his works, including Statistical physics and Dirichlet form. His study in Brownian motion is interdisciplinary in nature, drawing from both Point process, Variable and Mathematical physics.
The concepts of his Point process study are interwoven with issues in Martingale, Gaussian free field, Random measure and Combinatorics. Anton Bovier combines subjects such as Theoretical physics, Mathematical proof, State space and Phenomenon with his study of Metastability. His work in Markov process addresses subjects such as Jump process, which are connected to disciplines such as Graph, Exponential function, Mutation probability and Event.
His primary areas of study are Brownian motion, Mutation, Statistical physics, Phenotypic plasticity and Markov process. His Brownian motion study combines topics from a wide range of disciplines, such as Variable, Mathematical analysis, Mathematical physics, Point process and Extreme value theory. Many of his research projects under Mathematical analysis are closely connected to Diffusion process with Diffusion process, tying the diverse disciplines of science together.
His study on Mutation also encompasses disciplines like
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Metastability in Reversible Diffusion Processes I: Sharp Asymptotics for Capacities and Exit Times
Anton Bovier;Michael Eckhoff;Véronique Gayrard;Markus Klein.
Journal of the European Mathematical Society (2004)
Statistical Mechanics of Disordered Systems: A Mathematical Perspective
Anton Bovier.
(2006)
Plasticity of tumour and immune cells: a source of heterogeneity and a cause for therapy resistance?
Michael Hölzel;Anton Bovier;Thomas Tüting.
Nature Reviews Cancer (2013)
METASTABILITY AND LOW LYING SPECTRA IN REVERSIBLE MARKOV CHAINS
Anton Bovier;Michael Eckhoff;Véronique Gayrard;Markus Klein.
Communications in Mathematical Physics (2002)
Statistical Mechanics of Disordered Systems
Anton Bovier.
(2012)
Metastability in reversible diffusion processes II. Precise asymptotics for small eigenvalues
Anton Bovier;Véronique Gayrard;Markus Klein.
Journal of the European Mathematical Society (2005)
Metastability in stochastic dynamics of disordered mean-field models
Anton Bovier;Michael Eckhoff;Véronique Gayrard;Markus Klein.
Probability Theory and Related Fields (2001)
Spectral properties of one-dimensional Schrödinger operators with potentials generated by substitutions
Anton Bovier;Jean-Michel Ghez.
Communications in Mathematical Physics (1993)
The extremal process of branching Brownian motion
Louis-Pierre Arguin;Anton Bovier;Nicola Kistler.
Probability Theory and Related Fields (2013)
Spectral Properties of a Tight Binding Hamiltonian with Period Doubling Potential
Jean Bellissard;Jean Bellissard;Anton Bovier;Jean-Michel Ghez;Jean-Michel Ghez.
Communications in Mathematical Physics (1991)
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