Monthly Best Of on 08/28/2008




Bidimensional brownian motion with a uniform distribution law regarding the radial coordinate

Jean-François COLONNA
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www.lactamme.polytechnique.fr

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, École polytechnique, Institut Polytechnique de Paris, CNRS, France

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(CMAP28 WWW site: this page was created on 08/28/2008 and last updated on 11/14/2023 17:47:09 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

(*): Undisplayed pictures -if any- do not exist.



Tridimensional representation of a quadridimensional Calabi-Yau manifold
1-394 reference(s)		 Quark and gluon structure of a nucleon
2-191 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-187 reference(s)		 Fractal diffusion front in a bidimensional medium obtained by means of a random walk process
4-183 reference(s)
Hypercube
5-174 reference(s)		 Artistic view of the prime numbers
6-172 reference(s)		 Black dots (inside random white squares)on a square lattice
7-139 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
8-122 reference(s)
The random walk of photons escaping the Sun
9-120 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
10-118 reference(s)		 Reconstruction of a 3D structure -a cubic lattice-
11-114 reference(s)		 The Lorenz attractor
12-114 reference(s)
The random walk of photons escaping the Sun
13-112 reference(s)		 Autostereogram with an hidden ring and ghost bows
14-110 reference(s)		 Autostereogram with an hidden volcano
15-104 reference(s)		 Quark and gluon dynamics of the nucleon
16-99 reference(s)
Rotation about the X axis of the Lorenz attractor
17-97 reference(s)		 Welcome aboard a Virtual Space-Time Travel Machine
18-92 reference(s)		 Botticelli anomaly on the Moon
19-86 reference(s)		 N-body problem integration (N=3)with one yellow star and two planets (the red one being very heavy and the blue one being light)
20-85 reference(s)
Quark and gluon structure of a nucleon
21-79 reference(s)		 N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed with 2 different optimization options on the same computer (sensitivity to rounding-off errors)
22-77 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
23-74 reference(s)		 The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
24-73 reference(s)
Double bidimensional rectangular billiard with 64 isotropic particles and with collisions
25-72 reference(s)		 From Pluto to the Sun -extrapolation 2- (non linear scales)
26-72 reference(s)		 The City and the Stars -a Tribute to Arthur C. Clarke-
27-71 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
28-69 reference(s)
From Pluto to the Sun (non linear scales)
29-68 reference(s)		 Quaternionic lion with extended arithmetics
30-66 reference(s)		 The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
31-65 reference(s)		 From Pluto to the Sun
32-65 reference(s)
Autostereogram with an hidden volcano
33-64 reference(s)		 Quantum vacuum fluctuations
34-63 reference(s)		 Animation of a sunrise on mountains
35-63 reference(s)		 From Pluto to the Sun -extrapolation 1- (non linear scales)
36-62 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+60.0]x[-35.0,+35.0] (bird's-eye view)
37-60 reference(s)		 Cauliflowers, seaweeds, shells,... with fog
38-60 reference(s)		 Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
39-60 reference(s)		 Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
40-60 reference(s)
The generalized Ulam spiral displaying 100 numbers
41-59 reference(s)		 Fractal synthesis of mountains with vegetation and stormy clouds
42-59 reference(s)		 The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
43-59 reference(s)		 Computation of the Lorenz attractor on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
44-59 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
45-58 reference(s)		 The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
46-57 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional fractal aggregate that can also be viewed as a set of 4x3 pseudo-stereograms
47-57 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
48-57 reference(s)
A tridimensional fractal manifold defined by means of three tridimensional fields
49-56 reference(s)		 Animation of bidimensional textures by means of the self-transformation of a fractal process
50-56 reference(s)		 The Birth of the Universe
51-56 reference(s)		 The tridimensional field defining the three coordinates of a tridimensional twisted torus-like manifold
52-55 reference(s)
Artistic view of the Big Bang
53-54 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
54-54 reference(s)		 Erosion in Monument Valley with fog
55-52 reference(s)		 The tridimensional field defining the three coordinates of the Jeener-Möbius tridimensional manifold
56-51 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
57-51 reference(s)		 Electron diffraction
58-51 reference(s)		 The journey of an Earth-like planet (dark blue)from Pluto (grey) to the Sun (yellow)
59-50 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
60-50 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of identical interacting particles
61-49 reference(s)		 Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
62-49 reference(s)		 Animation of a quaternionic Julia island
63-49 reference(s)		 Bidimensional display of the integration of the Lorenz attractor system for 448500 different initial conditions
64-49 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
65-48 reference(s)		 The non linear transformation of the coordinates in the Solar System
66-48 reference(s)		 Real numbers do not exist for a computer
67-48 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
68-48 reference(s)
Rotation about X and Y axes of the Boy surface
69-47 reference(s)		 Zoom in on light clouds
70-47 reference(s)		 The tridimensional field defining the three coordinates of a tridimensional fractal manifold
71-46 reference(s)		 The set of bidimensional fields defining the 'X' coordinate of a dynamic 'crumpled' Klein bottle
72-46 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
73-46 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
74-46 reference(s)		 Autostereogram with an hidden volcano
75-45 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
76-45 reference(s)
The evolution of the sphere using the Lorenz attractor
77-45 reference(s)		 Animation of a natural form
78-45 reference(s)		 Texture animation by means of Fourier filtering of a random walk process
79-45 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
80-45 reference(s)
Earthquake with multifractal mountains
81-45 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
82-45 reference(s)		 N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)-sensitivity to initial conditions-
83-44 reference(s)		 From the infinitely small to the infinitely big
84-44 reference(s)
Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
85-44 reference(s)		 Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
86-43 reference(s)		 Along the border of the Mandelbrot set
87-43 reference(s)		 Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
88-43 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
89-43 reference(s)		 Artistic view of a quadridimensional Calabi-Yau manifold
90-43 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
91-43 reference(s)		 Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
92-43 reference(s)
The trajectories of bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity
93-42 reference(s)		 The Lorenz attractor -sensitivity to integration methods used (Red=Euler, Green=Runge-Kutta/2nd order, Blue=Runge-Kutta/4th order)-
94-42 reference(s)		 Bidimensional billiard with 6 still -initially- particles submitted to an attractive central field of gravity (the center being the magenta lower-left particle)
95-41 reference(s)		 Synthesis of tridimensional symmetrical geometrical textures
96-41 reference(s)
Mountains and cloud dynamics -this sequence being periodical-
97-41 reference(s)		 Bidimensional zoom in on the Mandelbrot set with display of the arguments
98-41 reference(s)		 The evolution of the bidimensional field defining the three coordinates of a sphere using the Lorenz attractor
99-40 reference(s)		 Dynamics of the even distribution of 8 points on a sphere by means of simulated annealing
100-40 reference(s)
The Möbius strip
101-40 reference(s)		 Tridimensional zoom in on the Mandelbrot set
102-40 reference(s)		 Non isotropic random walk of 64 particles on a bidimensional square lattice in a 'ring' potential
103-39 reference(s)		 26 evenly distributed points on a sphere by means of simulated annealing displayed after a (0,0,1)sphere inversion
104-39 reference(s)
A dynamic 'crumpled' Klein bottle defined by means of three sets of bidimensional fields
105-39 reference(s)		 N-body problem integration (N=4)with one yellow star and two planets (the red one being very heavy and the blue one and its white satellite being light)
106-39 reference(s)		 Three pendulums -the Red one, the Green one and the Blue one- and three magnets -white-
107-39 reference(s)		 2.pi rotation about the Y axis of a quaternionic Julia set with motion blur -tridimensional cross-section-
108-39 reference(s)
Tridimensional fractal aggregate obtained by means of a 50% pasting process during collisions of particles submitted to an attractive central field of gravity
109-38 reference(s)		 Bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
110-38 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation, our Earth being at the origin of the coordinates
111-38 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System
112-38 reference(s)
16 complex Julia sets
113-38 reference(s)		 Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
114-38 reference(s)		 Dynamics of a bidimensional fractal structure
115-38 reference(s)		 Tridimensional display of the particle density of a bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
116-37 reference(s)
A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle and with display of velocity histograms
117-37 reference(s)		 The tridimensional field defining the three coordinates of a tridimensional Möbius-like manifold
118-37 reference(s)		 The erosion of the Babel Tower
119-37 reference(s)		 Earthquake
120-37 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
121-37 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System with its simultaneous 2.pi rotation
122-37 reference(s)		 The three pendulums and three magnets problem computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
123-37 reference(s)		 Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
124-37 reference(s)
Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
125-37 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
126-37 reference(s)		 Quantum vacuum fluctuation dynamics
127-36 reference(s)		 16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
128-36 reference(s)




2-The 128 most referenced Pages (*):

(*): Unclickable pages -if any- do not exist.



1-demo_14
1285 reference(s)		 2-AVirtualSpaceTimeTravelMachine.Ang
472 reference(s)
3-An2000.01.Fra
360 reference(s)		 4-help.
263 reference(s)
5-Fractal.01
246 reference(s)		 6-demo_14.FV
237 reference(s)
7-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
237 reference(s)		 8-ExpV_VirE.Ang
233 reference(s)
9-present.01.
219 reference(s)		 10-ImagesDuVirtuel.01.Fra
219 reference(s)
11-Galerie_ArtisticCreation.FV
218 reference(s)		 12-Galerie_DeterministicFractalGeometry.FV
210 reference(s)
13-Autostereograms.01.
209 reference(s)		 14-Galerie_Astrophysics.DIAPO.0001
201 reference(s)
15-SurfaceProjector.01.Ang
198 reference(s)		 16-copyright.01.
195 reference(s)
17-GenieLogiciel.01.Fra
195 reference(s)		 18-An2000.02.Fra
191 reference(s)
19-FloatingPointNumbers.01.Ang
189 reference(s)		 20-AProposSite.01.Fra
184 reference(s)
21-Informations_AboutPicturesAnimationsAndFiles.01.Ang
182 reference(s)		 22-create.03.
181 reference(s)
23-ExpV_VirE.11
181 reference(s)		 24-Galerie_ParticleSystems.FV
180 reference(s)
25-Galerie_NumberTheory.FV
179 reference(s)		 26-Galerie_QuantumMechanics.FV
176 reference(s)
27-Galerie_GeneralitiesVisualization.FV
175 reference(s)		 28-AQuoiServentLesMathematiques.01
170 reference(s)
29-VisSci_SciVis.01
169 reference(s)		 30-Stereogrammes_AutoStereogrammes.01
167 reference(s)
31-Galerie_DeterministicChaos.FV
166 reference(s)		 32-ImagesDuVirtuel.01.Fra.FV
164 reference(s)
33-FloatingPointNumbers.01.Fra
164 reference(s)		 34-Galerie_TextureSynthesis.FV
162 reference(s)
35-Galerie_QuantumMechanics.DIAPO.0001
160 reference(s)		 36-Galerie_ArtAndScience.FV
160 reference(s)
37-Kepler.02.
156 reference(s)		 38-mail.01.vv
155 reference(s)
39-EnsembleDesGaleries.DIAPO.0001
155 reference(s)		 40-AVirtualSpaceTimeTravelMachine.Fra.FV
154 reference(s)
41-Galerie_CelestialMechanics.FV
152 reference(s)		 42-AVirtualSpaceTimeTravelMachine.Fra
151 reference(s)
43-AVirtualSpaceTimeTravelMachine.Ang.FV
151 reference(s)		 44-Informations_GoodNewsAndBadNews.01.Fra
150 reference(s)
45-RealNumbers.01.Fra
148 reference(s)		 46-Galerie_ParticleSystems
147 reference(s)
47-Galerie_ArtisticCreation
145 reference(s)		 48-Galerie_DeterministicChaos.DIAPO.0001
144 reference(s)
49-RemarquesCerveau.01
143 reference(s)		 50-ExpV_VirE.21
143 reference(s)
51-PatrimoineHumanite.02.Fra
142 reference(s)		 52-ExpV_VirE.Fra
142 reference(s)
53-ArtOrdinateur.01
142 reference(s)		 54-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
141 reference(s)
55-AnimFractal.01.
141 reference(s)		 56-AQuoiServentLesMathematiques.03
140 reference(s)
57-ArtScience.11.Ang.DIAPO.0001
139 reference(s)		 58-Galerie_DeterministicChaos
138 reference(s)
59-ExpV_VirE.01.Fra
138 reference(s)		 60-Galerie_TextureSynthesis.DIAPO.0001
137 reference(s)
61-Galerie_NumberTheory.DIAPO.0001
136 reference(s)		 62-Commentaires_DefinitionTransformeeDeFourier.01
136 reference(s)
63-MonumentValley.01.Fra
135 reference(s)		 64-IllusionConnaissance.01
135 reference(s)
65-Galerie_SignalProcessing.FV
135 reference(s)		 66-Galerie_BestOf
135 reference(s)
67-Commentaires_EspaceLyapunovComplexe.01
135 reference(s)		 68-Commentaires_DefinitionComplexes.01
135 reference(s)
69-ArtScience.11.Fra
135 reference(s)		 70-Commentaires_NKleinBottle.01
134 reference(s)
71-Commentaires_DefinitionQuaternions.01
134 reference(s)		 72-An2000.05.Fra
134 reference(s)
73-An2000.04.Fra
132 reference(s)		 74-infinity.01.vv.DIAPO.0001
130 reference(s)
75-Galerie_NewPictures.DIAPO.0001
129 reference(s)		 76-Commentaires_EnsembleMandelbrotQuaternion.01
128 reference(s)
77-Commentaires_EnsembleMandelbrotComplexe.01
128 reference(s)		 78-EnsembleDesGaleries.DIAPO.0002
127 reference(s)
79-Commentaires_RacinesTroisiemesUniteComplexes.01
127 reference(s)		 80-Vcatalogue.11
126 reference(s)
81-AvantPropos.01.Ang
126 reference(s)		 82-subject.01.
125 reference(s)
83-Galerie_Astrophysics.FV
125 reference(s)		 84-VisSci_SciVis.02
124 reference(s)
85-VirtualChaos.01.Fra
124 reference(s)		 86-Galeries.01.vv
124 reference(s)
87-Galerie_Astrophysics.DIAPO.0002
124 reference(s)		 88-An2000.03.Fra
124 reference(s)
89-Commentaires_ProblemeDesNCorps.01
123 reference(s)		 90-ManyChaos.01.Ang
122 reference(s)
91-SurfaceProjector.01.Fra
121 reference(s)		 92-Galerie_BestOf.DIAPO.0001
121 reference(s)
93-ExpV_VirE.01.Ang
121 reference(s)		 94-Commentaires_ProblemeDesNAimants.01
121 reference(s)
95-An2000.06.Fra
121 reference(s)		 96-Galerie_ArtAndScience.DIAPO.0001
120 reference(s)
97-Commentaires_EnsembleJuliaComplexe.01
120 reference(s)		 98-infinity.02.vv
119 reference(s)
99-infinity.01.vv
119 reference(s)		 100-Commentaires_Tore.01
119 reference(s)
101-Commentaires_NKleinBottle.02
119 reference(s)		 102-ScienceEtVirtuel.01.Fra
118 reference(s)
103-ImpossibleStructures.01.Fra
118 reference(s)		 104-Galerie_DeterministicFractalGeometry.DIAPO.0001
118 reference(s)
105-ManyChaos.01.Fra
117 reference(s)		 106-Galerie_SensitivityToRoundingOffErrors.FV
117 reference(s)
107-Galerie_BestOf.FV
117 reference(s)		 108-LumiereVirtuelleParadoxale.01
116 reference(s)
109-Galerie_TextureSynthesis
116 reference(s)		 110-Galerie_SignalProcessing
115 reference(s)
111-Galerie_NewPictures.FV
115 reference(s)		 112-Galerie_NewPictures
115 reference(s)
113-Galerie_GeneralitiesVisualization
114 reference(s)		 114-Galerie_DeterministicChaos.DIAPO.0002
114 reference(s)
115-Galerie_AnthropomorphicPatterns.FV
114 reference(s)		 116-DuReelAuVirtuel.01.Fra
114 reference(s)
117-Commentaires_EnsembleJuliaQuaternion.01
114 reference(s)		 118-An2000.01.Ang
114 reference(s)
119-Galerie_FluidMechanics.FV
113 reference(s)		 120-Galerie_FluidMechanics
113 reference(s)
121-Galerie_ArtisticCreation.DIAPO.0001
113 reference(s)		 122-FaireDeLaRecherche.01.vv
113 reference(s)
123-AvantPropos.01.Fra
113 reference(s)		 124-VisitesGaleriesEnfouies.01.Ang
112 reference(s)
125-MathematiquesPhysiqueInformatiqueImages.01.Fra
112 reference(s)		 126-Galerie_SalonDAutomne.FV
112 reference(s)
127-DuModeleALImage.01.Fra
112 reference(s)		 128-MathematiquesEtCinematographe.01.vv
111 reference(s)

And now, enjoy visiting A Virtual Space-Time Travel Machine.




Copyright © Jean-François COLONNA, 2008-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2008-2023.