X
Search Filters
Format Format
Format Format
X
Sort by Item Count (A-Z)
Filter by Count
Journal Article (4173) 4173
Dissertation (79) 79
Conference Proceeding (72) 72
Book / eBook (36) 36
Book Chapter (32) 32
Publication (5) 5
Government Document (1) 1
Magazine Article (1) 1
Paper (1) 1
more...
Subjects Subjects
Subjects Subjects
X
Sort by Item Count (A-Z)
Filter by Count
hausdorff dimension (2652) 2652
mathematics (2552) 2552
mathematics, applied (1001) 1001
hausdorff dimensions (579) 579
fractals (537) 537
mathematical theorems (334) 334
sets (327) 327
hausdorff measure (325) 325
statistics & probability (324) 324
mathematics, general (314) 314
analysis (294) 294
mathematical functions (257) 257
dimension (252) 252
integers (243) 243
physics, mathematical (235) 235
hausdorff measures (221) 221
mathematical analysis (189) 189
28a80 (187) 187
entropy (179) 179
dynamical systems (170) 170
mathematics - dynamical systems (170) 170
hausdorff维数 (166) 166
geometry (159) 159
packing dimension (157) 157
fractal (134) 134
julia sets (134) 134
28a78 (126) 126
dynamics (123) 123
hausdorff (120) 120
multidisciplinary sciences (119) 119
topology (118) 118
mathematics, interdisciplinary applications (116) 116
brownian motion (113) 113
mathematics - probability (112) 112
hausdorff distance (107) 107
algebra (106) 106
physics (105) 105
applications of mathematics (104) 104
diophantine approximation (104) 104
cantor set (103) 103
systems (99) 99
self-similar sets (97) 97
approximation (95) 95
probability (95) 95
multifractal analysis (93) 93
lebesgue measures (92) 92
studies (92) 92
applied mathematics (89) 89
density (86) 86
computer science (85) 85
random variables (83) 83
spaces (83) 83
fractal dimension (82) 82
mathematics - classical analysis and odes (82) 82
cantor sets (81) 81
algorithms (79) 79
ergodic theory (78) 78
self-similarity (77) 77
probability theory and stochastic processes (76) 76
iterated function systems (75) 75
mathematical models (75) 75
60g17 (74) 74
convergence (74) 74
cubes (74) 74
box dimension (73) 73
theorems (73) 73
computer science, theory & methods (72) 72
attractors (70) 70
fractal analysis (70) 70
polynomials (70) 70
theorem (70) 70
hausdorff metric (67) 67
hausdorff spaces (67) 67
real numbers (66) 66
capacity (65) 65
physics, multidisciplinary (65) 65
manifolds (64) 64
iterated function system (63) 63
mathematics - metric geometry (63) 63
topological theorems (63) 63
vertices (63) 63
numbers (62) 62
regularity (62) 62
continuity (61) 61
global attractor (61) 61
continued fractions (60) 60
points (60) 60
partial differential equations (57) 57
self-similar set (56) 56
mechanics (55) 55
spectrum (55) 55
thermodynamic formalism (54) 54
homeomorphism (52) 52
julia set (52) 52
mathematical physics (52) 52
fourier analysis (51) 51
continuous functions (50) 50
general topology (50) 50
number theory (50) 50
packing measure (50) 50
more...
Library Location Library Location
Library Location Library Location
X
Sort by Item Count (A-Z)
Filter by Count
Mathematical Sciences - Stacks (20) 20
Gerstein Science - Stacks (14) 14
UofT at Scarborough - Stacks (4) 4
Collection Dvlpm't (Acquisitions) - Closed Orders (2) 2
Physics - Stacks (2) 2
Astronomy & Astrophysics - Ask at library (1) 1
Chemistry (A D Allen) - Stacks (1) 1
Engineering & Comp. Sci. - Stacks (1) 1
Mathematical Sciences - Course Reserves (1) 1
Mathematical Sciences - Missing (1) 1
Online Resources - Online (1) 1
Royal Ontario Museum - Stacks (1) 1
UofT at Mississauga - Stacks (1) 1
more...
Language Language
Language Language
X
Sort by Item Count (A-Z)
Filter by Count
English (4148) 4148
Chinese (188) 188
French (52) 52
Japanese (20) 20
German (12) 12
Portuguese (9) 9
Russian (5) 5
Czech (4) 4
Spanish (4) 4
Korean (2) 2
Belarusian (1) 1
Italian (1) 1
Polish (1) 1
more...
Publication Date Publication Date
Click on a bar to filter by decade
Slide to change publication date range


2010, University lecture series, ISBN 9780821852293, Volume 54, xiii, 143
Book
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 09/2017, Volume 27, Issue 10, p. 1750164
Definitions of Hausdorff–Lebesgue measure and dimension are introduced. Combination of Hausdorff and Lebesgue ideas are used... 
Lorenz system | fractal | attractors | Hausdorff-Lebesgue | Hausdorff | dimension | Lyapunov | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | Mathematics - Dynamical Systems
Journal Article
Nonlinearity, ISSN 0951-7715, 04/2017, Volume 30, Issue 6, pp. 2268 - 2278
...)-expansion is faithful for the Hausdorff dimension calculations. Applying this result, we give a necessary and sufficient condition for the family of all cylinders of the Q(infinity... 
28A80 | faithfulness | Hausdorff dimension Mathematics Subject Classification numbers: 11K55 | Q ∞-expansion | MATHEMATICS, APPLIED | Hausdorff dimension | PROBABILITY-DISTRIBUTIONS | PHYSICS, MATHEMATICAL | Q(infinity)-expansion | Mathematics - Number Theory
Journal Article
International Journal of Modern Physics A, ISSN 0217-751X, 11/2017, Volume 32, Issue 31, p. 1750183
We study the Hausdorff dimension of the path of a quantum particle in noncommutative space–time... 
Hausdorff dimension | generalized uncertainty relation | kappa-deformed space-time | kappa-deformed space–time | POINCARE | REDUCTION | QUANTUM | ALGEBRA | PHYSICS, NUCLEAR | PLANCK-SCALE | PHYSICS, PARTICLES & FIELDS
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 12/2019, Volume 293, Issue 3, pp. 1015 - 1042
We study dimensions of sumsets and iterated sumsets and provide natural conditions which guarantee that a set $$F \subseteq \mathbb {R}$$ F ⊆ R satisfies... 
Sumset | Hausdorff dimension | Assouad dimension | Mathematics, general | Primary 28A80 | Mathematics | Box dimension | Distance set | Secondary 11B13 | MATHEMATICS | SELF-SIMILAR SETS | DISTANCE SETS | THEOREMS
Journal Article
Communications in nonlinear science & numerical simulation, ISSN 1007-5704, 2016, Volume 41, pp. 84 - 103
Journal Article
07/2015, Cambridge studies in advanced mathematics, ISBN 9781107107359, Volume 150, 456
.... This book describes part of that development, concentrating on the relationship between the Fourier transform and Hausdorff dimension... 
Mathematical analysis | Fourier analysis | Hausdorff measures
eBook
Journal of functional analysis, ISSN 0022-1236, 2019, Volume 276, Issue 9, pp. 2731 - 2820
In 1977 the celebrated theorem of B. Dahlberg established that the harmonic measure is absolutely continuous with respect to the Hausdorff measure on a Lipschitz graph of dimension n... 
Harmonic measure in higher codimension | Dahlberg's theorem | Degenerate elliptic operators | Boundary with co-dimension higher than 1 | HAUSDORFF DIMENSION | HARMONIC MEASURE | MATHEMATICS | DISTORTION | UNIFORM RECTIFIABILITY | HYPERSURFACES | SETS | DIRICHLET PROBLEM | OPERATORS | POISSON KERNELS
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2019, Volume 472, Issue 2, pp. 1820 - 1845
We establish a refinement of Marstrand's projection theorem for Hausdorff dimension functions finer than the usual power functions, including an analogue... 
Orthogonal projections | Potential theory | Hausdorff measure/dimension | MATHEMATICS | MATHEMATICS, APPLIED | HAUSDORFF MEASURE
Journal Article
Proceedings of the London Mathematical Society, ISSN 0024-6115, 08/2018, Volume 117, Issue 2, pp. 277 - 302
Given a compact set E⊂Rd−1, d⩾1, write KE:=[0,1]×E⊂Rd. A theorem of Bishop and Tyson states that any set of the form KE is minimal for conformal dimension: If (X,d... 
30C65 (primary) | 28A78 (secondary) | MATHEMATICS | HAUSDORFF | SETS
Journal Article
Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, 03/2015, Volume 158, Issue 2, pp. 223 - 238
In this paper we address an interesting question on the computation of the dimension of self-affine sets in Euclidean space... 
HAUSDORFF DIMENSION | MATHEMATICS | Geometry | Euclidean space | Algorithms | Theoretical mathematics | Estimating | Mathematical models | Singularities | Two dimensional | Computation
Journal Article
The Annals of probability, ISSN 0091-1798, 2008, Volume 36, Issue 4, pp. 1421 - 1452
Journal Article
Journal of the London Mathematical Society, ISSN 0024-6107, 08/2018, Volume 98, Issue 1, pp. 223 - 252
.... In 1988, Falconer proved that, for given matrices, the Hausdorff dimension of the self‐affine set is the affinity dimension for Lebesgue almost every translation vectors... 
37C45 (primary) | 28A80 (secondary) | HAUSDORFF DIMENSION | MATHEMATICS | LEDRAPPIER-YOUNG FORMULA | Mathematics - Dynamical Systems
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 12/2014, Volume 366, Issue 12, pp. 6687 - 6733
We investigate several aspects of the Assouad dimension and the lower dimension, which together form a natural `dimension pair... 
Measurability | Ahlfors regular | Lower dimension | Self-affine carpet | Assouad dimension | Baire hierarchy | measurability | HAUSDORFF DIMENSION | MATHEMATICS | AFFINE FRACTALS | SELF-SIMILAR SETS | SPACES | self-affine carpet | lower dimension | PACKING DIMENSION
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 12/2016, Volume 26, Issue 14, p. 1650240
Journal Article
Advances in Mathematics, ISSN 0001-8708, 01/2017, Volume 305, pp. 165 - 196
.... Completing many former investigations, we give a formula for the Hausdorff dimension D(q) of Uq for each q∈(1,∞). Furthermore, we prove that the dimension function D... 
Quasi-greedy expansion | Hausdorff dimension | Non-integer bases | Topological entropy | Greedy expansion | Cantor sets | β-Expansion | Unique expansion | Self-similarity | UNIQUE EXPANSIONS | NONINTEGER BASES | BETA-EXPANSIONS | beta-Expansion | MATHEMATICS | Q-NI | REAL NUMBERS
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 12/2018, Volume 511, pp. 1 - 17
The box counting dimension dB of a complex network G, and the generalized dimensions {Dq,q∈R... 
Multifractals | Hausdorff dimension | Generalized dimensions | Fractal dimensions | Box counting | Complex networks | SELF-SIMILARITY | PHYSICS, MULTIDISCIPLINARY | INFORMATION DIMENSION
Journal Article