Live briefing
Everything about Transfer operator
Operator encoding information about iterated map
In mathematics, the transfer operator encodes information about an iterated map and is frequently used to study the behavior of dynamical systems, statistical mechanics, quantum chaos and fractals. In all usual cases, the largest eigenvalue is 1, and the corresponding eigenvector is the invariant measure of the system. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Transfer operatorA 5-minute orientation
- Skim a recent paper: Deep transfer operator learning for partial differential equations under conditional shiftInfluential work since 2022
- Pick up a classic book: Beyond A ShadowThe most-reprinted book on the subject
- Read the landmark paper: Data-Driven Model Reduction and Transfer Operator ApproximationCited 274 times
- Go sideways: Gauss–Kuzmin–Wirsing operatorA closely related topic
- Go sideways: Composition operatorA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Data-Driven Model Reduction and Transfer Operator Approximation
Matrix Operator Theory of Radiative Transfer 1: Rayleigh Scattering
Ruelle's transfer operator for random subshifts of finite type
Long-distance operator for energy transfer
Spectral analysis of the transfer operator for the Lorentz gas
Radiative transfer model: matrix operator method
Transformations between delta and forward shift operator transfer function models
The transfer operator for the Hecke triangle groups
🆕 Influential since 2022
Deep transfer operator learning for partial differential equations under conditional shift
Multi-fidelity prediction of fluid flow based on transfer learning using Fourier neural operator
Urban flood modeling and forecasting with deep neural operator and transfer learning
Surrogate modeling for radiative heat transfer using physics-informed deep neural operator networks
Transfer Learning for Operator Selection: A Reinforcement Learning Approach
đź“š Books worth reading
Beyond A ShadowAlison Kent · 2006
The catchTaylor Stevens · 2014
Convective heat and mass transfer in rotating disk systemsIgor V. Shevchuk · 2009- 📕Parameter identification for nonlinear aerodynamic systemsAllan E. Pearson · 1990
Thermal Separation TechnologyAlfons Mersmann · 2011- 📕The government household transfer data base, 1960-1984Rita Varley · 1986
- 📕Your land is your legacyJeremiah P. Cosgrove · 1999
Don Pendletona Mack BolanDon Pendleton
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
- Gauss–Kuzmin–Wirsing operator In mathematics, the Gauss–Kuzmin–Wirsing operator is the transfer operator of the Gauss map that takes a positive number to the fractional part of its…
- Composition operator In mathematics, the composition operator C ϕ {\displaystyle C_{\phi }} with symbol ϕ {\displaystyle \phi } is a linear operator defined by the rule C ϕ…
- Dyadic transformation The dyadic transformation (also known as the dyadic map, bit shift map, 2x mod 1 map, Bernoulli map, doubling map or sawtooth map) is the mapping (i.e…
- Multiplication theorem In mathematics, the multiplication theorem is a certain type of identity obeyed by many special functions related to the gamma function. For the explicit…
- Perron–Frobenius theorem In matrix theory, the Perron–Frobenius theorem, proved in its first part by Oskar Perron (1907) and extended by Georg Frobenius (1912), asserts that a…
- Artin–Mazur zeta function In mathematics, the Artin–Mazur zeta function, named after Michael Artin and Barry Mazur, is a function that is used for studying the iterated functions…
- Operator (physics) An operator is a function over a space of physical states onto another space of states. The simplest example of the utility of operators is the study of…
- Topological conjugacy In mathematics, two functions are said to be topologically conjugate if there exists a homeomorphism that will conjugate the one into the other. Topological…