# BÁLINT TÓTH

## personal web page

# ΓΝΩΘΙ ΣΑΥΤOΝ

## AFFILIATION IN BRISTOL (UK)

## AFFILIATION IN BUDAPEST (HU)

## CONTACTS IN BRISTOL:

Normally, I am in Bristol between mid-September and mid-February

Mailing Address: School of Mathematics, Fry Building, Woodland Road, Bristol BS8 1UG, UK

Telephone: +44(0)117 42 84919

Email: balint.toth@bristol.ac.uk

How to find me? Map of the university campus; Fry Building on Google maps; My office in Fry: 1.45

## CONTACTS IN BUDAPEST:

Normally, I am in Budapest between mid-February and mid-September

Mailing Address: Alfréd Rényi Institute of Mathematics; Reáltanoda u. 13-15; H-1053 Budapest, Hungary

Telephone: +36(06)1 483 8300

Email: toth.balint@renyi.hu

How to find me? Rényi Institute on Google Maps

Teaching in current semester -- Spring 2024:

MATHEMATICAL METHODS OF STATISTICAL PHYSICS - a graduate course held at BME/TU Budapest

## RESEARCH AND RELATED PROFESSIONAL ACTIVITIES

### Currently:

### BME Stochastics Seminar [1999-2020, defunct]

## TEACHING AND RELATED PROFESSIONAL ACTIVITIES

## Teaching material related to various courses taught in recent years:

### Undergraduate (BSc) courses

Probability 1 / Valószínűségszámítás 1 (in Hungarian)

Probability 2 / Valószínűségszámítás 2 (English version)

Stochastic processes / Sztochasztikus folyamatok (in Hungarian)

Introductory Functional Analysis (a BSM course) (English version)

### Graduate (MSc and PhD) courses

Markov chains (Hungarian and English versions)

Limit theorems of probability theory (English version)

Stochastic differential equations (English version)

Mathematical methods of statistical physics (lecture notes mostly in Hungarian)

Percolation (a TCC course, English version)

Martingale approximation and scaling limits of additive functionals of Markov processes (a TCC course, English version)

Statistical physics with continuous symmetries: symmetry breaking, long range order, phase transitions (a TCC course, English version)

Random walks in random environment (a TCC course, English version)

### Courses at graduate summer schools

INFRARED BOUNDS, REFLECTION POSITIVITY AND CONTINUOUS SYMMETRY BREAKING IN CLASSICAL AND QUANTUM SPIN SYSTEMS Lecture notes for the PRAGUE Summer School of Mathematical Physics -- October 1996

HYPERBOLIC CONSERVATION LAWS AND HYDRODYNAMIC LIMITS FOR HYPERBOLIC INTERACTING PARTICLE SYSTEMS Lecture notes for the PRAGUE Summer School of Mathematical Physics -- September 1999

SCALING LIMITS FOR SELF-INTERACTING RANDOM WALKS AND DIFFUSIONS Lecture notes for the IRTG/Pro*Doc BERLIN-ZÜRICH Summer School -- September 2009: ''Stochastic Models of Complex Processes''

SCALING LIMITS FOR SELF-INTERACTING RANDOM WALKS AND DIFFUSIONS Lecture notes for the PRAGUE Summer School of Mathematical Physics -- September 2011

SCALING LIMITS FOR RANDOM WALKS AND DIFFUSIONS WITH LONG MEMORY -- Lecture notes for the 48th Saint Flour Summer School of Probability 8-10 July 2018; Videos of lectures at YouTube

INFRARED BOUNDS, REFLECTION POSITIVITY AND CONTINUOUS SYMMETRY BREAKING IN CLASSICAL AND QUANTUM SPIN SYSTEMS -- Gran Sasso Science Institute (GSSI), 2022 May 2-3, 10-11.