Results 31 to 40 of about 69,676 (112)

G-Expectation Weighted Sobolev Spaces, Backward SDE and Path Dependent PDE [PDF]

, 2014
We introduce a new notion of G-expectation-weighted Sobolev spaces, or in short, G-Sobolev spaces, and prove that a backward SDEs driven by G-Brownian motion are in fact path dependent PDEs in the corresponding Sobolev spaces under G-norms.
Peng, Shige, Song, Yongsheng
core  

Relationship between soil and species diversity in typical forest stands in Xianrendong, Liaoning Province based on plant-soil feedback.

PLoS ONE
Exploring the relationship between soil properties and species diversity in typical forest stands in Liaoning Xianrendong National Nature Reserve will help maintain the stability of forest communities in the transition zone between flora in Changbai and ...
Weixin Du, Hua Zhang
doaj   +1 more source

Shannon’s Sampling Theorem for Set-Valued Functions with an Application

Mathematics
In this study, we defined a kind of Fourier expansion of set-valued square-integrable functions. In fact, we have seen that the classical Fourier basis also constitutes a basis for the Hilbert quasilinear space L2(−π,π,Ω(C)) of Ω(C)-valued square ...
Yılmaz Yılmaz, Bağdagül Kartal Erdoğan, Halise Levent   +2 more
doaj   +1 more source

Dirichlet forms methods, an application to the propagation of the error due to the Euler scheme [PDF]

, 2006
We present recent advances on Dirichlet forms methods either to extend financial models beyond the usual stochastic calculus or to study stochastic models with less classical tools.
Bouleau, Nicolas
core   +5 more sources

Construction of Self-Adjoint Berezin-Toeplitz Operators on Kahler Manifolds and a Probabilistic Representation of the Associated Semigroups

, 2002
We investigate a class of operators resulting from a quantization scheme attributed to Berezin. These so-called Berezin-Toeplitz operators are defined on a Hilbert space of square-integrable holomorphic sections in a line bundle over the classical phase ...
Alicki, Alicki, Berezin, Berezin, Berezin, Berezin, Bernhard G. Bodmann, Bodmann, Bordemann, Borthwick, Cahen, Cahen, Cahen, Cahen, Charles, Cichoń, Daubechies, Daubechies, Daubechies, Davies, Greene, Janas, Khaśminskii, Klauder, Klauder, Klauder, Klauder, Klauder, Klauder, Klauder, Klauder, Klauder, McKenna, Nelson, Onofri, Simon, Souriau, Sturm   +37 more
core   +3 more sources

Lévy laplacians and annihilation process

Учёные записки Казанского университета: Серия Физико-математические науки, 2018
The Lévy Laplacians are infinite-dimensional Laplace operators defined as the Cesaro mean of the second-order directional derivatives. In the theory of Sobolev–Schwarz distributions over a Gaussian measure on an infinite-dimensional space (the Hida ...
B.O. Volkov
doaj  

PaRaVis: An automatic Python graphical package for ensemble analysis of plant beta diversity using remote sensing proxies

Ecological Informatics
The ongoing impacts of climatic changes, coupled with intensified human activities, are leading to a significant loss of plant diversity, prompting urgent calls for comprehensive monitoring of forest ecosystems. This is particularly concerning in regions
Mohammad Reza Fathi, Hooman Latifi, Hamed Gholizadeh, Siddhartha Khare   +3 more
doaj   +1 more source

Optimal transport on the classical Wiener space with different norms

, 2011
26 ...
openaire   +2 more sources

On Wiener type filters in SPECT [PDF]

, 2008
International audienceFor 2D data with Poisson noise we give explicit formulas for the optimal space-invariant Wiener type filter with some a priori geometric restrictions on the window function. We show that, under some natural geometric condition, this
Guillement, Jean-Pol, Novikov, Roman
core   +1 more source

Functional Representations for Fock Superalgebras [PDF]

, 1997
The Fock space of bosons and fermions and its underlying superalgebra are represented by algebras of functions on a superspace. We define Gaussian integration on infinite dimensional superspaces, and construct superanalogs of the classical function ...
Kupsch, Joachim, Smolyanov, Oleg G.
core   +2 more sources