In probability theory, the Schramm–Loewner evolution with parameter κ, also known as stochastic Loewner evolution (SLEκ), is a family of random planar...
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of the Schramm–Loewner evolution (SLE) and for working at the intersection of conformal field theory and probability theory. Schramm was born in Jerusalem...
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Scale invariance (section Schramm–Loewner evolution)
dimensions of random walks, where the random walks are defined via Schramm–Loewner evolution (SLE). As we have seen above, CFTs describe the physics of phase...
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processes such as self-avoiding random walks, Brownian motion, Schramm–Loewner evolution, and related theories in probability theory and mathematical physics...
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and probability theory, including Teichmüller theory, the Schramm–Loewner evolution, and Loewner energy. Originally from China, and educated in France and...
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processes and even potential theory. It is the driving process of Schramm–Loewner evolution. In applied mathematics, the Wiener process is used to represent...
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mathematics, the Loewner differential equation, or Loewner equation, is an ordinary differential equation discovered by Charles Loewner in 1923 in complex...
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stochastic processes, including graphons, random planar maps, the Schramm–Loewner evolution, and their applications to quantum gravity. She was a Junior Fellow...
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the conjecture of Oded Schramm that the scaling limit of a large cluster may be described in terms of a Schramm–Loewner evolution. This conjecture was proved...
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function (mathematics) Quantum probability Percolation theory Schramm–Loewner evolution List of textbooks in thermodynamics and statistical mechanics...
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probability theory and best known for his work since 2000 on the Schramm–Loewner evolution. He received his PhD from Princeton University in 1979 under the...
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process Poisson process Compound Non-homogeneous Quasimartingale Schramm–Loewner evolution Semimartingale Sigma-martingale Stable process Superprocess Telegraph...
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equations Sea level equation, following post-glacial rebound Schramm–Loewner evolution in statistical mechanics McNary Field, airport in Salem, Oregon...
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Sarpy County, Nebraska, U.S. 113952 Schramm (discovered 2002), a main-belt minor planet Schramm–Loewner evolution, a stochastic process in probability...
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winning the 2007 Abel Prize. In the 1990s and 2000s the theories of Schramm–Loewner evolution and rough paths were introduced and developed to study stochastic...
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process Poisson process Compound Non-homogeneous Quasimartingale Schramm–Loewner evolution Semimartingale Sigma-martingale Stable process Superprocess Telegraph...
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Nanoparticle tracking analysis Narrow escape problem Osmosis Random walk Schramm–Loewner evolution Single particle trajectories Single particle tracking Statistical...
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limit of the self-avoiding walk is conjectured to be described by Schramm–Loewner evolution with parameter κ = 8/3. Critical phenomena – Physics associated...
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conformal invariance was proved by Lawler, Oded Schramm and Wendelin Werner (with Schramm–Loewner evolution) in 2004. The cases of four and more dimensions...
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Löwner-John ellipsoid Schramm–Loewner evolution Loop-erased random walk Systoles of surfaces Berger, Marcel: À l'ombre de Loewner. (French) Ann. Sci. École...
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triangular lattice, and to its relationship to the Schramm–Loewner evolution introduced by Oded Schramm. He also established conformality for the two-dimensional...
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process Poisson process Compound Non-homogeneous Quasimartingale Schramm–Loewner evolution Semimartingale Sigma-martingale Stable process Superprocess Telegraph...
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that self-avoiding walks converge in the scaling limit to the Schramm–Loewner evolution. The connective constant is defined as follows. Let c n {\displaystyle...
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conformal invariance, which relates it in several ways to the Schramm–Loewner evolution, see Sheffield (2005) and Dubédat (2009). Similarly to Brownian...
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"imaginary geometry" which made it possible to integrate the Schramm–Loewner evolution in many GFF fields. Miller and Sheffield also proved that two...
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let z ∈ D be a point. (This is a usual scenario, say, in the Schramm–Loewner evolution). By the Riemann mapping theorem, there is a conformal bijection...
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self-similarity and fractional dimension, B. Mandelbrot Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin (2001). "The Dimension of the Planar Brownian Frontier...
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{\displaystyle \sigma } are represented by stochastic state variables whose time evolution is given by the following system of stochastic differential equations:...
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by most later attempts, and is also applied in the theory of Schramm–Loewner evolution. Littlewood (1925, theorem 20) proved that | a n | ≤ e n {\displaystyle...
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smoothing Scheffé's method Scheirer–Ray–Hare test Schilder's theorem Schramm–Loewner evolution Schuette–Nesbitt formula Schwarz criterion Score (statistics)...
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