Results 1 to 10 of about 1,208,588 (320)

Discrete structures in gravity [PDF]

Journal of Mathematical Physics, 2000
Discrete approaches to gravity, both classical and quantum, are reviewed briefly, with emphasis on the method using piecewise-linear spaces. Models of 3-dimensional quantum gravity involving 6j-symbols are then described, and progress in generalising ...
Ambjørn J., Archer F. J., Baez J., Baez J., Barrett J. W., Barrett J. W., Barrett J. W., Barrett J. W., Barrett J. W., Barrett J. W., Barrett J. W., Birmingham D., Birmingham D., Brewin L., Brewin L., Carfora M., Caselle M., Correia da Silva C. L. B., Correia da Silva C. L. B., Franzosi R., Franzosi R., Freidel L., Freidel L., Gott J. R., Hamber H. W., Hamber H. W., Hartle J. B., Hasslacher B., Hollmann H. R., Immirzi G., Ionicioiu R., Ionicioiu R., Iwasaki J., Kauffman L. H., Mannion C. L., Markopoulou F., Markopoulou F., Menotti P., Ooguri H., Reisenberger M., Reisenberger M., Reisenberger M., Riedler J., Roberts J. D., Roček M., Ruth M. Williams, Schleich K., Schleich K., Tullio Regge, Turaev V. G., Waelbroeck H., Welling M., Williams R. M., ’t Hooft G., ’t Hooft G.   +54 more
core   +7 more sources

Origin of coherent structures in a discrete chaotic medium [PDF]

, 1999
Using as an example a large lattice of locally interacting Hindmarsh-Rose chaotic neurons, we disclose the origin of ordered structures in a discrete nonequilibrium medium with fast and slow chaotic oscillations.
Huerta, Ramón, Rabinovich, Mikhail I., Torres, Joaquín J., Varona, Pablo, Weidman, P.   +4 more
core   +3 more sources

Two interacting diffusing particles on low-dimensional discrete structures [PDF]

, 2002
In this paper we study the motion of two particles diffusing on low-dimensional discrete structures in presence of a hard-core repulsive interaction.
Aslangul C, Aslangul C, Aslangul C, Bauer M, Cassi D, Davide Cassi, Fisher M E, Giovanni Giusiano, Giusiano G, Harris T E, Krattenhaler C, Kukla V, Montroll E W, Nener E, Raffaella Burioni, Sackman B, Sofia Regina   +16 more
core   +3 more sources

Projective structures with discrete holonomy representations [PDF]

Transactions of the American Mathematical Society, 1999
Let $K(X)$ denote the set of projective structures on a compact Riemann surface $X$ whose holonomy representations are discrete. We will show that each component of the interior of $K(X)$ is holomorphically equivalent to a complex submanifold of the product of Teichm ller spaces and the holonomy representation of every projective structure in the ...
Hiroshige Shiga, Harumi Tanigawa
openalex   +3 more sources

Method for Obtaining Coefficients of Powers of Multivariate Generating Functions

Mathematics, 2023
There are several general concepts that allow obtaining explicit formulas for the coefficients of generating functions in one variable by using their powers. One such concept is the application of compositae of generating functions.
Dmitry Kruchinin, Vladimir Kruchinin, Yuriy Shablya   +2 more
doaj   +1 more source

Combinatorial Generation Algorithms for Some Lattice Paths Using the Method Based on AND/OR Trees

Algorithms, 2023
Methods of combinatorial generation make it possible to develop algorithms for generating objects from a set of discrete structures with given parameters and properties.
Yuriy Shablya
doaj   +1 more source

Homogenization of discrete thin structures

Nonlinear Analysis, 2023
We consider graphs parameterized on a portion $X\subset\mathbb Z^d\times \{1,\ldots, M\}^k$ of a cylindrical subset of the lattice $\mathbb Z^d\times \mathbb Z^k$, and perform a discrete-to-continuum dimension-reduction process for energies defined on $X$ of quadratic type.
Andrea Braides, Lorenza D’Elia
openaire   +4 more sources

Discrete Structure of the Brain Rhythms [PDF]

Scientific Reports, 2019
AbstractNeuronal activity in the brain generates synchronous oscillations of the Local Field Potential (LFP). The traditional analyses of the LFPs are based on decomposing the signal into simpler components, such as sinusoidal harmonics. However, a common drawback of such methods is that the decomposition primitives are usually presumed from the onset,
Perotti, L., DeVito, J., Bessis, D., Dabaghian, Y.   +3 more
openaire   +4 more sources

Discrete breathers in protein structures [PDF]

Physical Biology, 2008
Recently, using a numerical surface cooling approach, we have shown that highly energetic discrete breathers (DB) can form in the stiffest parts of nonlinear network models of large protein structures. In the present study, using an analytical approach, we extend our previous results to low-energy discrete breathers as well as to smaller proteins We ...
Piazza, F., Sanejouand, Y. -H.
openaire   +5 more sources

Structure of random discrete spacetime [PDF]

Physical Review Letters, 1991
Summary: The usual picture of spacetime consists of a continuous manifold, together with a metric of Lorentzian signature which imposes a causal structure. We consider a model in which spacetime consists of a discrete set of points taken at random from a manifold, with only the causal structure remaining.
Ruth Gregory, Graham Brightwell
openaire   +4 more sources