Results 1 to 10 of about 12,887 (246)
On a Non-Newtonian Calculus of Variations
Axioms, 2021 The calculus of variations is a field of mathematical analysis born in 1687 with Newton’s problem of minimal resistance, which is concerned with the maxima or minima of integral functionals.
Delfim F. M. Torres
doaj +1 more source
Scaling algebras and pointlike fields: A nonperturbative approach to renormalization [PDF]
, 2008 We present a method of short-distance analysis in quantum field theory that does not require choosing a renormalization prescription a priori. We set out from a local net of algebras with associated pointlike quantum fields.
C. Bernard +32 more
core +1 more source
Integral models of unitary representations of current groups with values in semidirect products [PDF]
, 2008 We describe a general construction of irreducible unitary representations of the group of currents with values in the semidirect product of a locally compact subgroup $P_0$ and a one-parameter group ${\mathbb R {}}^*_+=\{r:r>0\}$ of automorphisms of $P_0$
Graev, M. I., Vershik, A. M.
core +2 more sources
Functionals in stochastic thermodynamics: how to interpret stochastic integrals [PDF]
, 2019 In stochastic thermodynamics standard concepts from macroscopic thermodynamics, such as heat, work, and entropy production, are generalized to small fluctuating systems by defining them on a trajectory-wise level.
Bo, S., Eichhorn, R., Lim, S.
core +2 more sources
A non commutative sewing lemma [PDF]
, 2007 In a preceding paper [E.J.ofProb.34,860-892,(2006)], we proved a sewing lemma which was a key result for the study of Holder continuous functions.
De La Pradelle, Arnaud +2 more
core +4 more sources
Uniqueness of the mass in the radiating regime [PDF]
, 1998 The usual approaches to the definition of energy give an ambiguous result for the energy of fields in the radiating regime. We show that for a massless scalar field in Minkowski space-time the definition may be rendered unambiguous by adding the ...
A. R. Exton +16 more
core +2 more sources
Multiplicative functionals on ensembles of non-intersecting paths
, 2013 The purpose of this article is to develop a theory behind the occurrence of "path-integral" kernels in the study of extended determinantal point processes and non-intersecting line ensembles. Our first result shows how determinants involving such kernels
Borodin, Alexei +2 more
core +1 more source
Fock factorizations, and decompositions of the $L^2$ spaces over general Levy processes
, 2003 We explicitly construct and study an isometry between the spaces of square integrable functionals of an arbitrary Levy process and a vector-valued Gaussian white noise.
Tsilevich, Natalia, Vershik, Anatoly
core +1 more source
Uniqueness of the Trautman--Bondi mass [PDF]
, 1998 It is shown that the only functionals, within a natural class, which are monotonic in time for all solutions of the vacuum Einstein equations admitting a smooth ``piece'' of conformal null infinity Scri, are those depending on the metric only through a ...
A. Ashtekar +44 more
core +2 more sources
Physical Review ResearchThis paper introduces a comprehensive extension of the path-integral formalism to model stochastic processes with arbitrary multiplicative noise. To do so, the Itô diffusive process is generalized by incorporating a multiplicative noise term [η(t)] that ...
F. S. Abril-Bermúdez +3 more
doaj +1 more source