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## Search Articles

1.
Geometry and dynamics in Gromov hyperbolic metric spaces

: with an emphasis on non-proper settings

2017, Mathematical surveys and monographs, ISBN 9781470434656, Volume 218, xxxv, 281 pages

Geometry, Hyperbolic | Ergodic theory | Measure and integration | Fuchsian groups and their generalizations | Infinite-dimensional Lie groups and their Lie algebras: general properties | Hyperbolic groups and nonpositively curved groups | Special aspects of infinite or finite groups | Semigroups of transformations, etc | Metric spaces | Conformal densities and Hausdorff dimension | Structure and classification of infinite or finite groups | Relations with number theory and harmonic analysis | Classical measure theory | Group theory and generalizations | Other groups of matrices | Complex dynamical systems | Lie groups | Hyperbolic spaces | Semigroups | Groups acting on trees | Topological groups, Lie groups | Dynamical systems and ergodic theory | Hausdorff and packing measures

Book

2008, ISBN 9789812772299, xix, 628

Book

2017, Memoirs of the American Mathematical Society, ISBN 9781470421946, Volume 245, number 1156, v, 152 pages

Book

2011, Student mathematical library, ISBN 0821853686, Volume 60., xiii, 314

Book

2013, 2nd edition., ISBN 9789814460071, xvi, 372 pages

Key Features:The 2nd edition brings the text up to date with new developments and results in the fieldContains enumeration of many explicit path integrals...

Tables | Path integrals | Quantum theory | Mathematical physics | Geometry | Quantum Theory | Mathematical Physics | Non-Euclidean | Mathematics | Path Integrals, Selberg Trace Formula, Quantum Chaos, Coordinate Systems, Homogeneous Spaces, Spaces of Non-Constant Curvature, Separation of Variables | SCIENCE | Physics | Mathematical & Computational | Hyperbolic spaces | Selberg trace formula

Tables | Path integrals | Quantum theory | Mathematical physics | Geometry | Quantum Theory | Mathematical Physics | Non-Euclidean | Mathematics | Path Integrals, Selberg Trace Formula, Quantum Chaos, Coordinate Systems, Homogeneous Spaces, Spaces of Non-Constant Curvature, Separation of Variables | SCIENCE | Physics | Mathematical & Computational | Hyperbolic spaces | Selberg trace formula

Book

Journal of the European Mathematical Society, ISSN 1435-9855, 2014, Volume 16, Issue 12, pp. 2669 - 2692

We prove, for any $n$, that there is a closed connected orientable surface $S$ so that the hyperbolic space $\mathbb H^n...

Several complex variables and analytic spaces | Functions of a complex variable | Almost-isometric embedding | TeichmÃ¼ller space | Complex of curves | Quadratic differential | Hyperbolic space | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Several complex variables and analytic spaces | Functions of a complex variable | Almost-isometric embedding | TeichmÃ¼ller space | Complex of curves | Quadratic differential | Hyperbolic space | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

2012, Graduate studies in mathematics, ISBN 9780821875766, Volume 135, xviii, 377

Book

Geometry & topology, ISSN 1364-0380, 05/2017, Volume 21, Issue 3, pp. 1731 - 1804

.... We then define a hierarchically hyperbolic space; the class of such spaces includes a wide class of cubical groups...

TeichmÃ¼ller space | Acylindrical | Cube complexes | Hierarchically hyperbolic | Curve complex | Physical Sciences | Mathematics | Science & Technology

TeichmÃ¼ller space | Acylindrical | Cube complexes | Hierarchically hyperbolic | Curve complex | Physical Sciences | Mathematics | Science & Technology

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 10/2019, Volume 478, Issue 2, pp. 445 - 457

Recently, strongly hyperbolic space as certain analytic enhancements of Gromov hyperbolic space was introduced by B. Nica and J. Å pakula...

Strongly hyperbolic space | Gromov hyperbolicity | Ptolemy space | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Strongly hyperbolic space | Gromov hyperbolicity | Ptolemy space | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Journal of the Royal Society interface, ISSN 1742-5662, 06/2015, Volume 12, Issue 107, p. 20141214

The grid cells discovered in the rodent medial entorhinal cortex have been proposed to provide a metric for Euclidean space, possibly even hardwired in the embryo...

Hyperbolic geometry | Self-organizing process | Space representation | Grid cells | Space Perception - physiology | Rats | Animals | Models, Neurological | Entorhinal Cortex - physiology | Index Medicus | 44 | s | 1004 | self-organizing process | hyperbolic geometry | space representation | grid cells

Hyperbolic geometry | Self-organizing process | Space representation | Grid cells | Space Perception - physiology | Rats | Animals | Models, Neurological | Entorhinal Cortex - physiology | Index Medicus | 44 | s | 1004 | self-organizing process | hyperbolic geometry | space representation | grid cells

Journal Article

The Journal of geometric analysis, ISSN 1050-6926, 4/2016, Volume 26, Issue 2, pp. 837 - 857

...$$
d
V
be the volume element on the
$$n$$
n
-dimensional hyperbolic space
$$(\mathbb {H}^n, g)$$
(
H
n
,
g
)
(
$$n\ge {2}$$
n
â‰¥
2
). In this paper, we establish the following sharp Moser...

Exact growth condition | Best constants | Sharp Moserâ€“Trudinger inequalities | Mathematics | Abstract Harmonic Analysis | 42B35 | Fourier Analysis | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Hyperbolic spaces | Differential Geometry | Dynamical Systems and Ergodic Theory | 42B37 | Physical Sciences | Science & Technology

Exact growth condition | Best constants | Sharp Moserâ€“Trudinger inequalities | Mathematics | Abstract Harmonic Analysis | 42B35 | Fourier Analysis | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Hyperbolic spaces | Differential Geometry | Dynamical Systems and Ergodic Theory | 42B37 | Physical Sciences | Science & Technology

Journal Article

Computers & fluids, ISSN 0045-7930, 09/2015, Volume 118, pp. 204 - 224

....
In this paper we present a novel arbitrary high order accurate discontinuous Galerkin (DG) finite element method on space...

High order spaceâ€“time adaptive mesh refinement (AMR) | Hyperbolic conservation laws | MOOD paradigm | ADER-DG and ADER-WENO finite volume schemes | A posteriori sub-cell finite volume limiter | Arbitrary high-order discontinuous Galerkin schemes | High order space-time adaptive mesh refinement (AMR) | Mechanics | Computer Science, Interdisciplinary Applications | Technology | Computer Science | Science & Technology | Fluid dynamics | Environmental law | Magnetohydrodynamics | Fluids | Computational fluid dynamics | Mathematical analysis | Fluid flow | Mathematical models | Polynomials | Galerkin methods

High order spaceâ€“time adaptive mesh refinement (AMR) | Hyperbolic conservation laws | MOOD paradigm | ADER-DG and ADER-WENO finite volume schemes | A posteriori sub-cell finite volume limiter | Arbitrary high-order discontinuous Galerkin schemes | High order space-time adaptive mesh refinement (AMR) | Mechanics | Computer Science, Interdisciplinary Applications | Technology | Computer Science | Science & Technology | Fluid dynamics | Environmental law | Magnetohydrodynamics | Fluids | Computational fluid dynamics | Mathematical analysis | Fluid flow | Mathematical models | Polynomials | Galerkin methods

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 08/2015, Volume 259, Issue 4, pp. 1449 - 1481

...+NâŠ‚RN is half-space. A new kind of entropy solution to the equation is introduced. The paper shows that the convection term div(b(u...

Hyperbolicâ€“parabolic mixed type equation | Boundary value | Half space | Entropy solution | Hyperbolic-parabolic mixed type equation | Physical Sciences | Mathematics | Science & Technology

Hyperbolicâ€“parabolic mixed type equation | Boundary value | Half space | Entropy solution | Hyperbolic-parabolic mixed type equation | Physical Sciences | Mathematics | Science & Technology

Journal Article

2006, London Mathematical Society lecture note series, ISBN 9780521617970, Volume 329, vii, 390

The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, the last few years having seen the resolution...

Geometry, Hyperbolic | Hyperbolic 3-manifolds | Kleinian groups | Three-manifolds (Topology)

Geometry, Hyperbolic | Hyperbolic 3-manifolds | Kleinian groups | Three-manifolds (Topology)

Book

Journal of mathematical analysis and applications, ISSN 0022-247X, 09/2019, Volume 477, Issue 2, pp. 1157 - 1181

...g in the hyperbolic space Hn with nâ‰¥5. These inequalities could be seen as the improved second order PoincarÃ©...

Hyperbolic spaces | Decreasing spherical symmetric rearrangement | Sobolev inequality | Adams inequality with exact growth | PoincarÃ©â€“Sobolev inequality | Adams inequality | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Hyperbolic spaces | Decreasing spherical symmetric rearrangement | Sobolev inequality | Adams inequality with exact growth | PoincarÃ©â€“Sobolev inequality | Adams inequality | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Geometriae dedicata, ISSN 0046-5755, 6/2019, Volume 200, Issue 1, pp. 331 - 350

A real valued function
$$\varphi $$
Ï†
of one variable is called a metric transform if for every metric space (X,Â d) the composition
$$d_\varphi = \varphi \circ d$$
d
Ï†
=
Ï†...

51F99 | Mathematics | Topology | Rigidity | Roughly geodesic | 51M10 | Convex and Discrete Geometry | 51K05 | delta $$ Î´ -Hyperbolic | Algebraic Geometry | Hyperbolic Geometry | Projective Geometry | Differential Geometry | Metric transform | Î´-Hyperbolic | Physical Sciences | Science & Technology | Metric space

51F99 | Mathematics | Topology | Rigidity | Roughly geodesic | 51M10 | Convex and Discrete Geometry | 51K05 | delta $$ Î´ -Hyperbolic | Algebraic Geometry | Hyperbolic Geometry | Projective Geometry | Differential Geometry | Metric transform | Î´-Hyperbolic | Physical Sciences | Science & Technology | Metric space

Journal Article

2013, Emergence, Complexity and Computation, ISBN 9783642442049, Volume 4, 327

.... It addresses the issue of universality in an unconventional model of computation, that of cellular automata in hyperbolic spaces.

Geometry, Hyperbolic | Hyperbolic spaces | Cellular automata

Geometry, Hyperbolic | Hyperbolic spaces | Cellular automata

eBook

2018, ISBN 0128117737, 420

eBook