• Thumbnail for Schramm–Loewner evolution
    In probability theory, the SchrammLoewner evolution with parameter κ, also known as stochastic Loewner evolution (SLEκ), is a family of random planar...
    22 KB (2,993 words) - 22:58, 25 January 2025
  • Thumbnail for Oded Schramm
    of the Schramm–Loewner evolution (SLE) and for working at the intersection of conformal field theory and probability theory. Schramm was born in Jerusalem...
    15 KB (1,266 words) - 05:47, 5 June 2025
  • dimensions of random walks, where the random walks are defined via SchrammLoewner evolution (SLE). As we have seen above, CFTs describe the physics of phase...
    32 KB (4,486 words) - 01:39, 2 June 2025
  • Thumbnail for Wendelin Werner
    processes such as self-avoiding random walks, Brownian motion, SchrammLoewner evolution, and related theories in probability theory and mathematical physics...
    6 KB (486 words) - 01:46, 8 January 2025
  • Thumbnail for Yilin Wang
    and probability theory, including Teichmüller theory, the SchrammLoewner evolution, and Loewner energy. Originally from China, and educated in France and...
    6 KB (466 words) - 03:04, 21 March 2025
  • Thumbnail for Wiener process
    processes and even potential theory. It is the driving process of SchrammLoewner evolution. In applied mathematics, the Wiener process is used to represent...
    35 KB (5,874 words) - 23:58, 7 June 2025
  • mathematics, the Loewner differential equation, or Loewner equation, is an ordinary differential equation discovered by Charles Loewner in 1923 in complex...
    13 KB (2,606 words) - 08:17, 21 January 2025
  • Thumbnail for Nina Holden
    stochastic processes, including graphons, random planar maps, the SchrammLoewner evolution, and their applications to quantum gravity. She was a Junior Fellow...
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  • Thumbnail for Percolation theory
    the conjecture of Oded Schramm that the scaling limit of a large cluster may be described in terms of a SchrammLoewner evolution. This conjecture was proved...
    26 KB (3,133 words) - 05:14, 12 April 2025
  • function (mathematics) Quantum probability Percolation theory SchrammLoewner evolution List of textbooks in thermodynamics and statistical mechanics...
    43 KB (5,068 words) - 08:53, 3 June 2025
  • probability theory and best known for his work since 2000 on the SchrammLoewner evolution. He received his PhD from Princeton University in 1979 under the...
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  • process Poisson process Compound Non-homogeneous Quasimartingale SchrammLoewner evolution Semimartingale Sigma-martingale Stable process Superprocess Telegraph...
    5 KB (1,102 words) - 22:43, 13 April 2025
  • equations Sea level equation, following post-glacial rebound SchrammLoewner evolution in statistical mechanics McNary Field, airport in Salem, Oregon...
    1 KB (172 words) - 16:13, 11 May 2025
  • Sarpy County, Nebraska, U.S. 113952 Schramm (discovered 2002), a main-belt minor planet SchrammLoewner evolution, a stochastic process in probability...
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  • Thumbnail for Stochastic process
    winning the 2007 Abel Prize. In the 1990s and 2000s the theories of SchrammLoewner evolution and rough paths were introduced and developed to study stochastic...
    168 KB (18,657 words) - 20:31, 17 May 2025
  • process Poisson process Compound Non-homogeneous Quasimartingale SchrammLoewner evolution Semimartingale Sigma-martingale Stable process Superprocess Telegraph...
    2 KB (262 words) - 15:31, 16 March 2025
  • Thumbnail for Brownian motion
    Nanoparticle tracking analysis Narrow escape problem Osmosis Random walk SchrammLoewner evolution Single particle trajectories Single particle tracking Statistical...
    55 KB (7,142 words) - 13:32, 30 May 2025
  • Thumbnail for Self-avoiding walk
    limit of the self-avoiding walk is conjectured to be described by SchrammLoewner evolution with parameter κ = ⁠8/3⁠. Critical phenomena – Physics associated...
    12 KB (1,508 words) - 14:58, 29 April 2025
  • Thumbnail for Gady Kozma
    conformal invariance was proved by Lawler, Oded Schramm and Wendelin Werner (with SchrammLoewner evolution) in 2004. The cases of four and more dimensions...
    4 KB (352 words) - 04:33, 1 June 2025
  • Löwner-John ellipsoid SchrammLoewner evolution Loop-erased random walk Systoles of surfaces Berger, Marcel: À l'ombre de Loewner. (French) Ann. Sci. École...
    9 KB (1,054 words) - 01:58, 12 November 2024
  • Thumbnail for Stanislav Smirnov
    triangular lattice, and to its relationship to the SchrammLoewner evolution introduced by Oded Schramm. He also established conformality for the two-dimensional...
    7 KB (551 words) - 11:08, 26 October 2024
  • process Poisson process Compound Non-homogeneous Quasimartingale SchrammLoewner evolution Semimartingale Sigma-martingale Stable process Superprocess Telegraph...
    34 KB (5,421 words) - 03:27, 4 February 2025
  • that self-avoiding walks converge in the scaling limit to the SchrammLoewner evolution. The connective constant is defined as follows. Let c n {\displaystyle...
    13 KB (2,354 words) - 05:04, 28 May 2025
  • conformal invariance, which relates it in several ways to the SchrammLoewner evolution, see Sheffield (2005) and Dubédat (2009). Similarly to Brownian...
    10 KB (1,511 words) - 20:54, 1 March 2025
  • Thumbnail for Jason P. Miller
    "imaginary geometry" which made it possible to integrate the SchrammLoewner 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 SchrammLoewner evolution). By the Riemann mapping theorem, there is a conformal bijection...
    9 KB (1,453 words) - 07:50, 21 January 2025
  • self-similarity and fractional dimension, B. Mandelbrot Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin (2001). "The Dimension of the Planar Brownian Frontier...
    52 KB (1,139 words) - 22:22, 22 April 2025
  • {\displaystyle \sigma } are represented by stochastic state variables whose time evolution is given by the following system of stochastic differential equations:...
    18 KB (2,483 words) - 22:26, 10 September 2024
  • by most later attempts, and is also applied in the theory of SchrammLoewner evolution. Littlewood (1925, theorem 20) proved that | a n | ≤ e n {\displaystyle...
    19 KB (2,683 words) - 12:19, 23 May 2025
  • smoothing Scheffé's method Scheirer–Ray–Hare test Schilder's theorem SchrammLoewner evolution Schuette–Nesbitt formula Schwarz criterion Score (statistics)...
    87 KB (8,280 words) - 23:04, 12 March 2025