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INTRODUCTION TO STATISTICAL MECHANICS

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Master class in planar statistical physic 2015-2016
Velenik Yvan
mardi 22 septembre 2015
Faculté des sciences - Section de mathématiques
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Collection

NCCR SwissMAP – Master Class in Planar Statistical Physics

1
INTRODUCTION TO STATISTICAL MECHANICS

INTRODUCTION TO STATISTICAL MECHANICS

Yvan Velenik
mardi 15 septembre 2015
2
BROWNIAN MOTION AND STOCHASTIC CALCULUS

BROWNIAN MOTION AND STOCHASTIC CALCULUS

Dmitry Chelkak
jeudi 17 septembre 2015
3
GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

Hugo Duminil
vendredi 18 septembre 2015
4
MARTINGALES AND MARKOV PROCESSES (1/2)

MARTINGALES AND MARKOV PROCESSES (1/2)

Wu Hao
lundi 21 septembre 2015
5
MARTINGALES AND MARKOV PROCESSES (2/2)

MARTINGALES AND MARKOV PROCESSES (2/2)

Wu Hao
lundi 21 septembre 2015
6
INTRODUCTION TO STATISTICAL MECHANICS

INTRODUCTION TO STATISTICAL MECHANICS

Yvan Velenik
mardi 22 septembre 2015
7
BROWNIAN MOTION AND STOCHASTIC CALCULUS

BROWNIAN MOTION AND STOCHASTIC CALCULUS

Dmitry Chelkak
jeudi 24 septembre 2015
8
GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

Hugo Duminil
vendredi 25 septembre 2015
9
MARTINGALES AND MARKOV PROCESSES (1/2)

MARTINGALES AND MARKOV PROCESSES (1/2)

Wu Hao
lundi 28 septembre 2015
10
MARTINGALES AND MARKOV PROCESSES (2/2)

MARTINGALES AND MARKOV PROCESSES (2/2)

Wu Hao
lundi 28 septembre 2015
11
INTRODUCTION TO STATISTICAL MECHANICS

INTRODUCTION TO STATISTICAL MECHANICS

Yvan Velenik
mardi 29 septembre 2015
12
BROWNIAN MOTION AND STOCHASTIC CALCULUS

BROWNIAN MOTION AND STOCHASTIC CALCULUS

Dmitry Chelkak
jeudi 1 octobre 2015
13
GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

Hugo Duminil
vendredi 2 octobre 2015
14
MARTINGALES AND MARKOV PROCESSES

MARTINGALES AND MARKOV PROCESSES

Wu Hao
lundi 5 octobre 2015
15
INTRODUCTION TO STATISTICAL MECHANICS

INTRODUCTION TO STATISTICAL MECHANICS

Yvan Velenik
mardi 6 octobre 2015
16
BROWNIAN MOTION AND STOCHASTIC CALCULUS

BROWNIAN MOTION AND STOCHASTIC CALCULUS

Dmitry Chelkak
jeudi 8 octobre 2015
17
GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

Hugo Duminil
vendredi 9 octobre 2015
18
MARTINGALES AND MARKOV PROCESSES

MARTINGALES AND MARKOV PROCESSES

Wu Hao
lundi 12 octobre 2015
19
INTRODUCTION TO STATISTICAL MECHANICS

INTRODUCTION TO STATISTICAL MECHANICS

Yvan Velenik
mardi 13 octobre 2015
20
BROWNIAN MOTION AND STOCHASTIC CALCULUS 1/2

BROWNIAN MOTION AND STOCHASTIC CALCULUS 1/2

Dmitry Chelkak
jeudi 15 octobre 2015
21
BROWNIAN MOTION AND STOCHASTIC CALCULUS 2/2

BROWNIAN MOTION AND STOCHASTIC CALCULUS 2/2

Dmitry Chelkak
jeudi 15 octobre 2015
22
GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

Hugo Duminil
vendredi 16 octobre 2015
23
MARTINGALES AND MARKOV PROCESSES

MARTINGALES AND MARKOV PROCESSES

Wu Hao
lundi 19 octobre 2015
24
INTRODUCTION TO STATISTICAL MECHANICS

INTRODUCTION TO STATISTICAL MECHANICS

Yvan Velenik
mardi 20 octobre 2015
25
GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

Hugo Duminil
vendredi 23 octobre 2015
26
MARTINGALES AND MARKOV PROCESSES (1/2)

MARTINGALES AND MARKOV PROCESSES (1/2)

Wu Hao
lundi 26 octobre 2015
27
MARTINGALES AND MARKOV PROCESSES (2/2)

MARTINGALES AND MARKOV PROCESSES (2/2)

Wu Hao
lundi 26 octobre 2015
28
INTRODUCTION TO STATISTICAL MECHANICS

INTRODUCTION TO STATISTICAL MECHANICS

Yvan Velenik
mardi 27 octobre 2015
29
BROWNIAN MOTION AND STOCHASTIC CALCULUS

BROWNIAN MOTION AND STOCHASTIC CALCULUS

Dmitry Chelkak
jeudi 29 octobre 2015
30
GEOMETRIC REPRESENTATIONS OF LATTICE MODELS (1/2)

GEOMETRIC REPRESENTATIONS OF LATTICE MODELS (1/2)

Matan Harel
vendredi 30 octobre 2015
31
GEOMETRIC REPRESENTATIONS OF LATTICE MODELS (2/2)

GEOMETRIC REPRESENTATIONS OF LATTICE MODELS (2/2)

Matan Harel
vendredi 30 octobre 2015
32
MARTINGALES AND MARKOV PROCESSES

MARTINGALES AND MARKOV PROCESSES

Wu Hao
lundi 2 novembre 2015
33
INTRODUCTION TO STATISTICAL MECHANICS

INTRODUCTION TO STATISTICAL MECHANICS

Yvan Velenik
mardi 3 novembre 2015
34
BROWNIAN MOTION AND STOCHASTIC CALCULUS

BROWNIAN MOTION AND STOCHASTIC CALCULUS

Dmitry Chelkak
jeudi 5 novembre 2015
35
GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

Matan Harel
vendredi 6 novembre 2015
36
MARTINGALES AND MARKOV PROCESSES

MARTINGALES AND MARKOV PROCESSES

Wu Hao
lundi 9 novembre 2015
37
INTRODUCTION TO STATISTICAL MECHANICS

INTRODUCTION TO STATISTICAL MECHANICS

Yvan Velenik
mardi 10 novembre 2015
38
Brownian Motion and Stochastic Calculus

Brownian Motion and Stochastic Calculus

Dmitry Chelkak
jeudi 12 novembre 2015
39
Geometric Representations of Lattice Models

Geometric Representations of Lattice Models

Hugo Duminil
vendredi 13 novembre 2015
40
GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

Hugo Duminil
mardi 17 novembre 2015
41
BROWNIAN MOTION AND STOCHASTIC CALCULUS (1/2)

BROWNIAN MOTION AND STOCHASTIC CALCULUS (1/2)

Dmitry Chelkak
jeudi 19 novembre 2015
42
BROWNIAN MOTION AND STOCHASTIC CALCULUS (2/2)

BROWNIAN MOTION AND STOCHASTIC CALCULUS (2/2)

Dmitry Chelkak
jeudi 19 novembre 2015
43
INTRODUCTION TO STATISTICAL MECHANICS

INTRODUCTION TO STATISTICAL MECHANICS

Yvan Velenik
vendredi 20 novembre 2015
44
MARTINGALES AND MARKOV PROCESSES 1/2

MARTINGALES AND MARKOV PROCESSES 1/2

Wu Hao
lundi 23 novembre 2015
45
MARTINGALES AND MARKOV PROCESSES 2/2

MARTINGALES AND MARKOV PROCESSES 2/2

Wu Hao
lundi 23 novembre 2015
46
INTRODUCTION TO STATISTICAL MECHANICS 1/2

INTRODUCTION TO STATISTICAL MECHANICS 1/2

Yvan Velenik
mardi 24 novembre 2015
47
INTRODUCTION TO STATISTICAL MECHANICS 2/2

INTRODUCTION TO STATISTICAL MECHANICS 2/2

Yvan Velenik
mardi 24 novembre 2015
48
BROWNIAN MOTION AND STOCHASTIC CALCULUS

BROWNIAN MOTION AND STOCHASTIC CALCULUS

Dmitry Chelkak
jeudi 26 novembre 2015
49
GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

Hugo Duminil
vendredi 27 novembre 2015
50
MARTINGALES AND MARKOV PROCESSES

MARTINGALES AND MARKOV PROCESSES

Wu Hao
lundi 30 novembre 2015
51
INTRODUCTION TO STATISTICAL MECHANICS

INTRODUCTION TO STATISTICAL MECHANICS

Yvan Velenik
mardi 1 décembre 2015
52
BROWNIAN MOTION AND STOCHASTIC CALCULUS

BROWNIAN MOTION AND STOCHASTIC CALCULUS

Dmitry Chelkak
jeudi 3 décembre 2015
53
GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

Hugo Duminil
vendredi 4 décembre 2015
54
INTRODUCTION TO STATISTICAL MECHANICS

INTRODUCTION TO STATISTICAL MECHANICS

Yvan Velenik
mardi 8 décembre 2015
55
BROWNIAN MOTION AND STOCHASTIC CALCULUS

BROWNIAN MOTION AND STOCHASTIC CALCULUS

Dmitry Chelkak
jeudi 10 décembre 2015
56
GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

GEOMETRIC REPRESENTATIONS OF LATTICE MODELS

Hugo Duminil
vendredi 11 décembre 2015
57
MARTINGALES AND MARKOV PROCESSES

MARTINGALES AND MARKOV PROCESSES

Wu Hao
lundi 14 décembre 2015
58
BROWNIAN MOTION AND STOCHASTIC CALCULUS 1/2

BROWNIAN MOTION AND STOCHASTIC CALCULUS 1/2

Dmitry Chelkak
jeudi 17 décembre 2015
59
BROWNIAN MOTION AND STOCHASTIC CALCULUS 2/2

BROWNIAN MOTION AND STOCHASTIC CALCULUS 2/2

Dmitry Chelkak
jeudi 17 décembre 2015
60
ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

David Cimasoni
mardi 23 février 2016
61
Conformal invariance of lattice models

Conformal invariance of lattice models

Stanislav Smirnov
vendredi 26 février 2016
62
Conformal Invariance Of Lattice Models

Conformal Invariance Of Lattice Models

Stanislav Smirnov
lundi 29 février 2016
63
ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

David Cimasoni
mardi 1 mars 2016
64
CONFORMAL INVARIANCE OF LATTICE MODELS

CONFORMAL INVARIANCE OF LATTICE MODELS

Stanislav Smirnov
vendredi 4 mars 2016
65
ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

David Cimasoni
mardi 8 mars 2016
66
CONFORMAL INVARIANCE OF LATTICE MODELS

CONFORMAL INVARIANCE OF LATTICE MODELS

Stanislav Smirnov
lundi 14 mars 2016
67
ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

David Cimasoni
mardi 15 mars 2016
68
CONFORMAL INVARIANCE OF LATTICE MODELS

CONFORMAL INVARIANCE OF LATTICE MODELS

Stanislav Smirnov
vendredi 18 mars 2016
69
CONFORMAL INVARIANCE OF LATTICE MODELS

CONFORMAL INVARIANCE OF LATTICE MODELS

Stanislav Smirnov
lundi 21 mars 2016
70
ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

David Cimasoni
mardi 22 mars 2016
71
ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

David Cimasoni
mardi 5 avril 2016
72
PEELING OF RANDOM PLANAR MAPS (1/2)

PEELING OF RANDOM PLANAR MAPS (1/2)

Curien Nicolas
mardi 5 avril 2016
73
PEELING OF RANDOM PLANAR MAPS (2/2)

PEELING OF RANDOM PLANAR MAPS (2/2)

Curien Nicolas
mardi 5 avril 2016
74
ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

David Cimasoni
mardi 12 avril 2016
75
PEELING OF RANDOM PLANAR MAPS (1/2)

PEELING OF RANDOM PLANAR MAPS (1/2)

Curien Nicolas
mardi 12 avril 2016
76
PEELING OF RANDOM PLANAR MAPS (2/2)

PEELING OF RANDOM PLANAR MAPS (2/2)

Curien Nicolas
mardi 12 avril 2016
77
Conformal Invariance Of Lattice Models (1/2)

Conformal Invariance Of Lattice Models (1/2)

Stanislav Smirnov
vendredi 15 avril 2016
78
Conformal Invariance Of Lattice Models (2/2)

Conformal Invariance Of Lattice Models (2/2)

Stanislav Smirnov
vendredi 15 avril 2016
79
Conformal Invariance Of Lattice Models

Conformal Invariance Of Lattice Models

Stanislav Smirnov
lundi 18 avril 2016
80
ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

David Cimasoni
mardi 19 avril 2016
81
PEELING OF RANDOM PLANAR MAPS (1/2)

PEELING OF RANDOM PLANAR MAPS (1/2)

Curien Nicolas
mardi 19 avril 2016
82
PEELING OF RANDOM PLANAR MAPS (2/2)

PEELING OF RANDOM PLANAR MAPS (2/2)

Curien Nicolas
mardi 19 avril 2016
83
ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

David Cimasoni
mardi 26 avril 2016
84
PEELING OF RANDOM PLANAR MAPS (1/2)

PEELING OF RANDOM PLANAR MAPS (1/2)

Curien Nicolas
mardi 26 avril 2016
85
PEELING OF RANDOM PLANAR MAPS (2/2)

PEELING OF RANDOM PLANAR MAPS (2/2)

Curien Nicolas
mardi 26 avril 2016
86
Random Trees

Random Trees

Jean-François Le Gall
vendredi 29 avril 2016
87
ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

David Cimasoni
mardi 3 mai 2016
88
RANDOM PLANAR MAPS

RANDOM PLANAR MAPS

Jean-François Le Gall
mardi 3 mai 2016
89
CONFORMAL INVARIANCE OF LATTICE MODELS

CONFORMAL INVARIANCE OF LATTICE MODELS

Stanislav Smirnov
vendredi 6 mai 2016
90
ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

David Cimasoni
mardi 10 mai 2016
91
RANDOM PLANAR MAPS

RANDOM PLANAR MAPS

Jean-François Le Gall
mardi 10 mai 2016
92
CONFORMAL INVARIANCE OF LATTICE MODELS

CONFORMAL INVARIANCE OF LATTICE MODELS

Stanislav Smirnov
vendredi 13 mai 2016
93
ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

David Cimasoni
mardi 17 mai 2016
94
RANDOM PLANAR MAPS

RANDOM PLANAR MAPS

Jean-François Le Gall
mardi 17 mai 2016
95
CONFORMAL INVARIANCE OF LATTICE MODELS

CONFORMAL INVARIANCE OF LATTICE MODELS

Stanislav Smirnov
samedi 21 mai 2016
96
ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

David Cimasoni
mardi 24 mai 2016
97
Conformal Invariance Of Lattice Models

Conformal Invariance Of Lattice Models

Stanislav Smirnov
vendredi 27 mai 2016
98
ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

ON VARIOUS ASPECTS OF THE DIMER AND ISING MODELS

David Cimasoni
mardi 31 mai 2016