Existence and uniqueness of diffusions on finitely ramified self-similar fractals
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Publication:4364972
DOI10.1016/S0012-9593(97)89934-XzbMath0924.60064MaRDI QIDQ4364972
Publication date: 15 December 1997
Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=ASENS_1997_4_30_5_605_0
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A Sierpinski carpet like fractal without standard self-similar energy ⋮ Self-similar energy forms on the Sierpinski gasket with twists ⋮ \(p\)-energies on p.c.f. self-similar sets ⋮ Uniqueness of eigenforms on fractals - II ⋮ Analysis on products of fractals ⋮ Hodge-de Rham theory on fractal graphs and fractals ⋮ On a recursive construction of Dirichlet form on the Sierpiński gasket ⋮ Geodesic metrics on fractals and applications to heat kernel estimates ⋮ Fixed points of anti‐attracting maps and eigenforms on fractals ⋮ Power dissipation in fractal AC circuits ⋮ Construction of free quantum fields on nested fractal space-times ⋮ Distribution theory on p.c.f. fractals ⋮ Convergence of energy forms on Sierpinski gaskets with added rotated triangle ⋮ A uniform trace theorem for Dirichlet forms on Sierpinski fractals ⋮ Resistance scaling and the number of spanning trees in self-similar lattices ⋮ Laplacian, on the Arrowhead Curve ⋮ Dirichlet forms and convergence of Besov norms on self-similar sets ⋮ The cone of diffusions on finitely ramified fractals. ⋮ The finite volume method on Sierpiński simplices ⋮ Existence of self-similar energies on finitely ramified fractals ⋮ Denjoy-Wolff theorems, Hilbert metric nonexpansive maps and reproduction-decimation operators ⋮ Degenerate limits for one-parameter families of non-fixed-point diffusions on fractals ⋮ Optimization on fractal sets ⋮ A Compositional Framework for Passive Linear Networks ⋮ Local limit theorems for sequences of simple random walks on graphs ⋮ ISOMETRIES OF POLYHEDRAL HILBERT GEOMETRIES ⋮ Products of random matrices and derivatives on p.c.f. fractals ⋮ Uniqueness of eigenforms on fractals ⋮ Spectral triples for the Sierpinski gasket ⋮ The resolvent kernel for PCF self-similar fractals ⋮ Nonlinear Perron--Frobenius theory in finite dimensions ⋮ The short-cut test ⋮ ``Laplacians on finitely ramified, graph directed fractals ⋮ The random conductance model with heavy tails on nested fractal graphs ⋮ Equivalence conditions for on-diagonal upper bounds of heat kernels on self-similar spaces ⋮ Fractafolds based on the Sierpinski gasket and their spectra ⋮ A game theory approach to the existence and uniqueness of nonlinear Perron-Frobenius eigenvectors ⋮ Uniqueness of the fixed point of nonexpansive semidifferentiable maps ⋮ Random walk on graphs with regular resistance and volume growth ⋮ EIGENFORMS ON FRACTALS WITH CONNECTED INTERIOR AND THREE VERTICES ⋮ Smooth bumps, a Borel theorem and partitions of smooth functions on p.c.f. fractals ⋮ Poincaré Functional Equations, Harmonic Measures on Julia Sets, and Fractal Zeta Functions ⋮ Existence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps ⋮ Dirichlet forms and critical exponents on fractals ⋮ Hilbert and Thompson isometries on cones in JB-algebras ⋮ Optimal control of the heat equation on a fractal set ⋮ Pure point spectrum for the Laplacian on unbounded nested fractals ⋮ Transition density estimates for relativistic alpha-stable processes on metric spaces ⋮ Spectral theorem for convex monotone homogeneous maps, and ergodic control ⋮ From max-plus algebra to nonexpansive mappings: A nonlinear theory for discrete event systems. ⋮ Solvability for differential equations on fractals
Cites Work
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- The construction of Brownian motion on the Sierpinski carpet
- Brownian motion on the Sierpinski gasket
- Dirichlet spaces connected by points and application to diffusions on finitely ramified fractals
- How many diffusions exist on the Vicsek snowflake?
- Regularity, closedness and spectral dimensions of the Dirichlet forms on P.C.F. self-similar sets
- Dirichlet forms and symmetric Markov processes
- Analysis on fractals, Laplacians on self-similar sets, noncommutative geometry and spectral dimensions
- Hilbert's projective metric on cones of Dirichlet forms
- Harmonic calculus on limits of networks and its application to dendrites
- Asymptotic behavior of nonlinear contraction semigroups
- Hilbert’s projective metric and iterated nonlinear maps
- The Structure of ω-Limit Sets of Nonexpansive Maps
- Harmonic Calculus on P.C.F. Self-Similar Sets
- Mesures associées à une forme de Dirichlet. Applications
- Brownian motion on nested fractals
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