Dipolar stochastic Loewner evolutions
نویسندگان
چکیده
منابع مشابه
Conformal Field Theories in Random Domains and Stochastic Loewner Evolutions
where L is the number of links of the lattice, NC the number of clusters in the configuration C and ‖C‖ the number of links inside the NC clusters, usually called FK-clusters. Criticality is then encoded in the fractal nature of these clusters. The stochastic Loewner evolutions (SLE) [2] are mathematically well-defined processes describing the growth of random sets, called the SLE hulls, and of...
متن کاملConformal Field Theories of Stochastic Loewner Evolutions . [ CFTs of SLEs ]
Stochastic Loewner evolutions (SLEκ) are random growth processes of sets, called hulls, embedded in the two dimensional upper half plane. We elaborate and develop a relation between SLEκ evolutions and conformal field theories (CFT) which is based on a group theoretical formulation of SLEκ processes and on the identification of the proper hull boundary states. This allows us to define an infini...
متن کاملStochastic Komatu-Loewner evolutions and BMD domain constant
Let D = H \ ∪k=1Ck be a standard slit domain, where H is the upper half plane and Ck, 1 ≤ k ≤ N , are mutually disjoint horizontal line segments in H. Given a Jordan arc γ ⊂ D starting at ∂H, let gt be the unique conformal map from D \ γ[0, t] onto a standard slit domain Dt = H \ ∪k=1Ck(t) satisfying the hydrodynamic normalization at infinity. It has been established recently that gt satisfies ...
متن کاملIntroduction to Schramm–Loewner evolutions
we mean an equivalence class of paths modulo reparametrizations. Write CD for the set of chords in D. Given a path γ, we write [γ] for the associated chord; more generally, if γ is a continuous map from any compact subinterval I of [0,∞] to Û , starting at z0 and ending at z1, we can obtain a chord [γ] in D by choosing an increasing homeomorphism φ : [0, 1] → I and setting [γ] = [γ ◦ φ]. Write ...
متن کاملOn Multiple Schramm-Loewner Evolutions
In this note we consider the ansatz for Multiple Schramm-Loewner Evolutions (SLEs) proposed by Bauer, Bernard and Kytölä from a more probabilistic point of view. Here we show their ansatz is a consequence of conformal invariance, reparameterisation invariance and a notion of absolute continuity. In so doing we demonstrate that it is only consistent to grow multiple SLEs if their κ parameters ar...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Mechanics: Theory and Experiment
سال: 2005
ISSN: 1742-5468
DOI: 10.1088/1742-5468/2005/03/p03001