Within the framework of basic-deformed and finite-difference calculi, as well as deformation procedures proposed by Tsallis, Abe, and Kaniadakis and generalized by Naudts, we develop field-theoretical schemes of statistically distributed fields. We construct a set of generating functionals and find their connection with corresponding correlators for basic-deformed, finite-difference, and Kaniadakis calculi. Moreover, we introduce pair of additive functionals, which expansions into deformed series yield both Green functions and their irreducible proper vertices. We find as well formal equations, governing by the generating functionals of systems which possess a symmetry with respect to a field variation and are subjected to an arbitrary cons...
We study the free energy of four-dimensional CFTs on deformed spheres. For generic nonsupersymmetric...
A deformed exponential family is a generalization of exponential families. Since the useful classes ...
This thesis consists of two parts: In part I we apply the statistical mechanics techniques to a ge...
Within the framework of basic-deformed and finite-difference calculi,as well as deformation procedur...
A field theory is built for self-similar statistical systems with both generating functional being t...
Preprint[EN] In this paper we use the deformation procedure introduced in former work on deformed de...
This Note presents the resolution of a differential system on the plane that translates a geometrica...
This Note presents the resolution of a differential system on the plane that translates a geometrica...
This paper systematically presents the λ-deformation as the canonical framework of deformatio...
Abstract We revisit the results of Zamolodchikov and others on the deformation of two-dimensional qu...
In these mostly expository lectures, we give an elementary introduction to conformal field theory in...
Summarization: Spartan spatial random fields (SSRFs) are generalized Gibbs random fields, equipped w...
International audienceIn this paper we present a novel representation for deformation fields of 3D s...
Constitutive relations are fundamental and essential to characterize physical systems. By utilizing ...
Spartan random fields are special cases of Gibbs random fields. Their joint probability density func...
We study the free energy of four-dimensional CFTs on deformed spheres. For generic nonsupersymmetric...
A deformed exponential family is a generalization of exponential families. Since the useful classes ...
This thesis consists of two parts: In part I we apply the statistical mechanics techniques to a ge...
Within the framework of basic-deformed and finite-difference calculi,as well as deformation procedur...
A field theory is built for self-similar statistical systems with both generating functional being t...
Preprint[EN] In this paper we use the deformation procedure introduced in former work on deformed de...
This Note presents the resolution of a differential system on the plane that translates a geometrica...
This Note presents the resolution of a differential system on the plane that translates a geometrica...
This paper systematically presents the λ-deformation as the canonical framework of deformatio...
Abstract We revisit the results of Zamolodchikov and others on the deformation of two-dimensional qu...
In these mostly expository lectures, we give an elementary introduction to conformal field theory in...
Summarization: Spartan spatial random fields (SSRFs) are generalized Gibbs random fields, equipped w...
International audienceIn this paper we present a novel representation for deformation fields of 3D s...
Constitutive relations are fundamental and essential to characterize physical systems. By utilizing ...
Spartan random fields are special cases of Gibbs random fields. Their joint probability density func...
We study the free energy of four-dimensional CFTs on deformed spheres. For generic nonsupersymmetric...
A deformed exponential family is a generalization of exponential families. Since the useful classes ...
This thesis consists of two parts: In part I we apply the statistical mechanics techniques to a ge...