Supersymmetric theory of stochastic dynamics (STS) is a multidisciplinary approach to stochastic dynamics on the intersection of dynamical systems theory...

X_{t}=h^{-1}(\alpha t+W_{t}+h(X_{0}))} In supersymmetric theory of SDEs, stochastic dynamics is defined via stochastic evolution operator acting on the differential...

the so-emerging supersymmetric theory of stochastic dynamics can be recognized as the Witten-type topological field theory. The meaning of the topological...

According to the supersymmetric theory of stochastic dynamics, chaos, or more precisely, its stochastic generalization, is also part of this family. The...

probability theory and related fields, a stochastic (/stəˈkæstɪk/) or random process is a mathematical object usually defined as a family of random variables...

the operator representation of stochastic dynamics is the exterior derivative, which is commutative with the stochastic evolution operator. This supersymmetry...

{R} ^{n}} , as in the theory of stochastic processes. For example, to study Brownian motion, probability is defined on a space of functions. When it is...

Stochastic calculus is a branch of mathematics that operates on stochastic processes. It allows a consistent theory of integration to be defined for integrals...

field theories typically work best when there is a large separation between length scale of interest and the length scale of the underlying dynamics. Effective...

In physics, a gauge theory is a type of field theory in which the Lagrangian, and hence the dynamics of the system itself, does not change under local...

low energies is by a supersymmetric gauge theory, and found geometrical interpretations of mathematical structures in gauge theory that he and Nathan Seiberg...

perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler...

Lagrangian, a function which summarizes the dynamics of the entire system. Overall, the Lagrangian has units of energy, but no single expression for all...

algorithm List of algorithms List of algorithm general topics Medium is the message Regulation of algorithms Theory of computation Computability theory Computational...

not have to be[clarification needed] supersymmetric at any scale. Supersymmetric theory of stochastic dynamics Big Bang Theis, Ulrich (2007). "An Introduction...

Automata theory is the study of abstract machines and automata, as well as the computational problems that can be solved using them. It is a theory in theoretical...

mechanics, rather than quantum field theory. Supersymmetric quantum mechanics has found applications outside of high-energy physics, such as providing...

numerical solution of partial differential equations Stochastic methods, such as Monte Carlo methods and other representations of uncertainty in scientific...

Prospect theory Quantum cognition Rational choice theory Rationality Secretary problem Signal detection theory Small-numbers game Stochastic dominance...

in Lagrangian mechanics with (generalized) momenta. Both theories provide interpretations of classical mechanics and describe the same physical phenomena...

mathematics, perturbation theory comprises methods for finding an approximate solution to a problem, by starting from the exact solution of a related, simpler...

field theory on the AdS boundary. Notable examples are d = 4, N = 4 supersymmetric Yang–Mills theory, which is dual to Type IIB string theory on AdS5 × S5...

(1805–1865). Hamiltonian dynamics had played an important role in the formulation of modern theories in physics, including field theory and quantum mechanics...

In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing...

in critical behavior theory and stochastic dynamics; Chapman & Hall/CRC, 2004. ISBN 9780415310024 (Self-contained treatment of renormalization group...

field theories. The dynamics of a classical field are usually specified by the Lagrangian density in terms of the field components; the dynamics can be...

Springer, November 2008. ISBN 978-0-387-09623-0 For stochastic methods: A. Zhigljavsky. Theory of Global Random Search. Mathematics and its applications...

part of number theory and analysis, partition theory is now considered a part of combinatorics or an independent field. Order theory is the study of partially...

Coding theory is the study of the properties of codes and their respective fitness for specific applications. Codes are used for data compression, cryptography...

mathematics and mathematical physics, potential theory is the study of harmonic functions. The term "potential theory" was coined in 19th-century physics when...