- Subordinated Bessel heat kernels
2023/08/29 by Krzysztof Bogdan, Bogdan, Krzysztof, Konstantin Merz +1 · 2 citations
Mathematics · #Analysis of PDEs (math.AP) #Bessel function #Bessel polynomials #Bessel process #Bessel's inequality #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Heat equation #Heat kernel #Inequality #Linear inequality #Mathematical analysis #Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Probability (math.PR) #Pure mathematics
- The heat flow, GAF, and SL(2;R)
2023/04/13 by Brian K. Hall, Ching-Wei Ho, Hall, Brian +5 · 1 citation
Mathematics · #Flow (mathematics) #Function (biology) #Geometry #Geometry and complex manifolds #Heat flow #Heat kernel #Invariant (physics) #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematical physics #Mathematics #Meromorphic and Entire Functions #Physics #Quadratic equation #Thermodynamics
- Spectral dimension of simple random walk on a long-range percolation cluster
2021/11/01 by Van Hao Can, David A. Croydon, Can, Van Hao +3 · 1 citation
Mathematics · Physics and Astronomy · #35K05 #60J15 #60J35 #60J74 #60K37 (primary) #82B43 #Combinatorics #Diagonal #Dimension (graph theory) #Discrete mathematics #FOS: Mathematics #Geometry #Heat kernel #Lattice (music) #Markov Chains and Monte Carlo Methods #Mathematical analysis #Mathematics #Percolation (cognitive psychology) #Physics #Probability (math.PR) #Random walk #Range (aeronautics) #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
- Gradient flows of the entropy for finite Markov chains
2011/07/25 by Jan Maas · 50 citations
Mathematics · Medicine · #Advanced Neuroimaging Techniques and Applications #Balance equation #Balanced flow #Discrete mathematics #Entropy (arrow of time) #Flow (mathematics) #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Heat kernel #Markov chain #Markov kernel #Markov model #Markov process #Mathematical analysis #Mathematics #Metric (unit) #Pure mathematics #Statistics #Variable-order Markov model #Wasserstein metric
- Heat Kernels and Spectral Theory
1989/02/16 by E. B. Davies · 23 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Brownian motion #Differential operator #Elliptic operator #Euclidean geometry #Fourier integral operator #Heat equation #Heat kernel #Hilbert space #Laplace transform #Mathematical analysis #Mathematics #Microlocal analysis #Numerical methods in inverse problems #Operator theory #Spectral geometry #Spectral theory #Variable (mathematics) #advanced mathematical theories