[Timo Seppäläinen] (University of Wisconsin)
will give an intensive course on DIRECTED POLYMER MODELS
January 9-11, 14-16, lecture room D123
Lecture 1. 9.1. 2012 14-16
Weak and strong disorder in directed polymer models
Introduction to the d+1 dimensional directed polymer model (warning: no connection with polymer physics!). Martingale techniques for proving a central limit theorem in high temperature and localization in the so-called strong coupling regime (low temperature or d=1,2). The expected KPZ behavior in 1+1 dimensions.
Lecture 2. 10.1. 2012 14-16.
The Burke property in M/M/1 queues and directed polymer models
The Burke, or output theorem, is a fundamental result for memoryless queues. An analogous property is valid for special exactly solvable 1+1 dimensional polymer models in both zero and positive temperature. This property furnishes a start for proofs of fluctuation exponents.
Lecture 3. 11 .1. 2012 14-16.
The exactly solvable log-gamma polymer
Results for the 1+1 dimensional log-gamma polymer that follow from the Burke property. A combinatorial approach to the log-gamma polymer through Kirillov's tropical RSK (Robinson-Schensted-Knuth) correspondence.
The Helsinki Summer School on Mathematical Ecology and Evolution 2012 - an EMS-ESMTB Summer School in Applied Mathematics
This edition of the summer school specializes on the theory of speciation and is partially supported by the ESF network FroSpects. More information here.
Tom Körner (Cambridge University)
will visit the mathematics department of the University of Helsinki
Weeks 37 and 38 and will lecture the crash course
"This sets and convolutions"
Abstract:
We know that if we convolve a function with itself
the result is smoother. But how much smoother can
it be? I shall develop the the tools from Fourier
analysis and probability theory which enable us to attack
this problem. We shall also look at, more or less,
related problems on Hausdorff dimension and
sets of multiplicity.
Schedule: Weeks 37 and 38, Monday 12-14, Tuesday 14-16 and Friday 12-14 (first lecture Monday 12.9 12-14, altogether 6 lectures,)
Location: D123U Exactum Building.
Pablo Shmerkin (University of surrey)
will lecture about some recent developments on the interaction between geometric and
dynamical aspects of fractal sets and measures. (Course Abstract)
Schedule: Monday at 14-16; all other days at 10-12
Location: University of Oulu, Department of Mathematical Sciences,
(Pentti Kaiteran katu 1), lecture room M101
Contact: Maarit Järvenpää (maarit.jarvenpaa at oulu.fi)
14-18.3.2011 Yuri Kuznetsov (University of Utrecht) will lecture the short course:
"Numerical bifurcation analysis"
Time and Place
Lectures: B120 Mon-Thu 10-12 and D123 Fri 10-12
Computer labs: C128 Mon-Wed and Fri 13-14, Thu 15-16
This intensive course presents modern numerical methods and software for bifurcation analysis of parameter-dependent systems of smooth autonomous ordinary differential equations (ODEs). The main problems are: How to continue equilibria and periodic orbits with respect to a parameter? How to compute stability boundaries of equilibria and periodic orbits (limit cycles) in the parameter space? How to predict qualitative changes in system's behavior (bifurcations) occurring at these boundaries? How to locate and continue homoclinic orbits to equilibria? Only the most efficient methods will be described, which are based on projection and bordering techniques and employ boundary value problems (BVPs). These methods have been recently implemented in MATCONT, an interactive MATLAB bifurcation software for ODEs. An integral part of the course are computer sessions at which the students will learn how to use the latest version of MATCONT. No preliminary knowledge of bifurcation theory is assumed.
Course homepage
Registration by email to Eva Kisdi, max 24 students
9-11.2.2011 Patrik Ferrari (University of Bonn) will lecture
the short course:
"Random Matrices and Interacting Particle Systems"
Abstract:
Recently some remarkable connections have been found between the mathematical structures of on the one hand some ensembles of random matrices and on the other hand of certain interacting particle systems. The lectures give an introduction to random matrices, particle systems and their connections.
1. Lecture Wednesday 9.2. 14-16 C123
Gaussian Unitary Ensemble of random matrices (GUE): eigenvalue distribution, determinantal correlations and Hermite polynomials, interlacing structure in GUE minors.
2. Lecture Thursday 10.2. 14-16 C123
Totally Asymmetric Simple Exclusion Process (TASEP): interlacing structure in continuous time TASEP, determinantal correlations and Charlier polynomials.
3. Lecture Friday 11.2. 14-16 C123
2+1 dimensional anisotropic growth: particle dynamics, interface interpretation, dynamics on random tiling, two projections: TASEP and random tiling, diffusion scaling limit and GUE minors, discrete time and Aztec diamond.
18-22.10.2010 Michael Lacey (Georgia Institute of Technology) will lecture
the short course:
"An Introduction to Non-Homogeneous Harmonic Analysis"
Time and Place
mo 18.10 10-12
tu 19.10 14-16
we 20.10 14-16
th 21.10 12-14
fr 21.10 14-16
all lectures in B120 Exactum Building
Course abstract:
Non-Homogeneous Harmonic Analysis concerns classical operators T, like Maximal Function or Hilbert transform,
but studied on weighted spaces. The goal is to characterize those pairs of weights (u,v) for which T maps L^2(u) to L^2(v).
Such questions occur naturally in a variety of settings, from analytic function spaces, to quasiconformal maps.
For positive operators, like the Maximal Function, Fractional integrals, or Poisson integral, there is a complete theory.
For the Hilbert transform, we have incomplete information, which nevertheless still contains beautiful results.
We will start from the beginning, with a special emphasis on dyadic methods.
A full-day seminar on Wednesday 9 June 2010, in Kumpula, Exactum, Auditorium B123. More information: http://mathstat.helsinki.fi/research/biomath/ -> Biomathematics Days, registration (free) by email to eva.kisdi[funny character]helsinki.fi.
The Helsinki Summer School on Mathematical Ecology and Evolution 2010 - an EMS Summer School in Applied Mathematics
The summer school on mathematical ecology and evolution consists of graduate-level lectures on five topics at the research frontier. More information about the summer school organized in 2010 you find here.
20-21 May 2010 Scientific Advisory Board meeting of the Finnish Centre of Excellence in Analysis and Dynamics Talk and Event program
Scientific Program
April 12 - 16, 2010: RANDOM COMPLEX ZEROES AND RANDOM NODAL LINES
Speaker: Mikhail Sodin (Tel Aviv)
Abstract:
We will discuss the recent progress in understanding the zero sets of two remarkable Gaussian random functions: the Gaussian entire function with invariant distribution of zeroes with respect to isometries of the complex plane, and the Gaussian spherical harmonic on the two-dimensional sphere.
The lectures are based on the results obtained in collaboration with F. Nazarov, B. Tsirelson, and A. Volberg.
Time: April 12 - 16, 2010, in the following lecture rooms:
Monday 12.4. BK107 klo 10-12.
Tuesday 13.4. BK107 klo 12-14.
Wednesday 14.4. BK107 klo 10-12.
Thursday 15.4. C124 klo 12-14
Friday 16.4 C123 klo 14-16
Friday October the 2nd, room C124
13.30 14.30 Vincent Beffara (ENS, Lyon):
"2D statistical mechanics and random walks"
15.00-16.00 Stanislav Smirnov (Geneva): "Percolation and Black Noise".
A full-day seminar on Wednesday 28 October 2009, in Kumpula, Exactum. Program and venue: pdf.
More information: tadeas.priklopil[funny character]helsinki.fi and petr.ondracek[funny character]helsinki.fi.
A short course given by Yi Wang, University of Helsinki. More information: course website.
MA1: "Tangent of null sets, differentiability of Lipschitz functions, and other problems in geometric measure theory".
Time: 5.-13.8., 14h lectures + 4 h exercises
Lecturer: Prof. Marianna Csörnyei (University College, London)
MA2: "Percolation Theory".
Dates: 5.8-13.8, 14h lectures, 4h exercises
Lecturer: Prof. Jeffrey Steif (Chalmers University of Technology,Göteborg)
More information is available at the
Jyväskylä Summer School web page
PhD students in pure mathematics, applied mathematics, mathematical statistics, mathematics education or history of mathematics are invited to participate in a summer school in mathematics organized by the European Women in Mathematics (EWM). The summer school is especially aimed at encouraging female students and researchers in their early careers, but we also want to warmly welcome male students. Students outside the Nordic countries, post-docs or advanced undergraduates thinking of PhD studies are invited to attend as well. More information: school website. The school is co-sponsored by the CoE Analysis and Dynamics.
- A full-day seminar on Wednesday 29 June 2009, in Kumpula, Exactum. Program: pdf; more information: barbara.boldin[funny character]helsinki.fi. Welcome!
Helsinki, Finland, March 23-26, 2009
The workshop is a joint event of the EU-research network "CODY" and the Finnish Centre of Excellence in Analysis and Dynamics Research.
The workshop is an introduction to recent advances in random structures and growth processes- areas where conformal methods are often used. There will be two mini-courses of 4.5 and 6 hours respectively followed by talks in the afternoons. The courses are given by:
Yuval Peres (Microsoft research):
Internal aggregation with multiple sources (4.5 hours, Mon-Wed).
Michel Zinsmeister (Université d'Orléans):
Introduction to Growth Processes (6 hours).
For more information and registration please visit the website of the workshop
- A full-day seminar on Wednesday 25 March 2009, in Kumpula, Exactum. Participation is free but prior registration is necessary (email eva.kisdi [funny character] helsinki.fi). See the program in pdf. Welcome!
Short course given by Håkan Hedenmalm (Royal Institute of Technology, Stockholm) at the University of Helsinki (Kumpula campus, Exactum) between 27 and 30 October 2008 (Mon-Thu). Lectures each day 10-12 in room B222.
Karl Hadeler (University of Tübingen and Arizona State University) gives a series of five lectures between 29 September and 2 October 2008 in the Exactum building of Kumpula:
- Dynamical systems with quiescence (Monday 29 September, 10-12, lecture room D122)
- Equilibrium configurations of granular matter (Monday 29 September, 14-16, lecture room D122)
- Random walks and diffusion equations (Tuesday 30 September, 14-16, lecture room D123)
- Forward and backward problem of traveling front (Wednesday 1 October, 10-12, lecture room D122)
- TBA (Thursday 2 October, 12-14, lecture room D123)
The summer school on mathematical ecology and evolution consists of graduate-level lectures on five topics at the research frontier. More information about the summer school organized in 2008 you find here.
Short course given by Boris Tsirelson (School of Mathematics, Tel Aviv University) at the University of Helsinki (Kumpula campus, Exactum) between 10 and 14 March 2008 (Mon-Fri).
Many people know white noise. However, there are many other important noises that have been rigorously studied recently. Boris Tsirelson (Tel Aviv University) will give an introduction to these 'non-classical' noises. Among other things he is well-known for his contributions to the theory of black noise. Welcome !
Time and place:
Mon 10.30 - 11.30 in room C323
Tue 12.15 - 14.00 in room C323
Wed 10.15 - 12.00 in room C323
Thu 10.15 - 12.00 in room C323
Fri 10.15 - 12.00 in room B120
10 March (Monday) 13.00 - 16.45 in auditorium CK112 (Kumpula campus, Exactum)
13.00 - 14.00 Ilkka Hanski (Department of Biological and Environmental Sciences, University of Helsinki): Spatial patterns of coexistence of competing species in patchy habitats
14.00 - 14.30 Coffee
14.30 - 15.30 Kurt Johansson (Mathematics Institute, Royal Institute of Technology, Stockholm): Random matrix universality
15.45 - 16.45 Boris Tsirelson (School of Mathematics, Tel Aviv University): Moderate deviations for random fields and random complex zeroes
Abstract
28 May 2008 (Wednesday) 14-16 in room C123 (Exactum, Kumpula)
Peter W. Jones (Yale University): Diffusion Geometry and Local Uniformization by eigenfunctions.
Abstract
Thursday May 29 10.30-16.00 Lecture room D123
The Academy of Finland Center of Excellence in Analysis and Dynamics presents a day of lectures aimed for a general mathematical audience
Program
10.30 A. Kupiainen: "Towards a proof of Fourier's law"
11.30 M.Gyllenberg: "Volterra functional equations inspired by population dynamics"
12.30 Lunch
14.00 K. Astala: "The non-linear Fourier transform for the conductivity equation"
15.00 E. Järvenpää: "Dimensions of visible parts"
EVERYBODY WELCOME!
|
Basic courses
The dynamical systems course that has been taught by the mathematical physicists will be made a basic course common to all and taught every year. It will serve as a springboard for the evolutionary dynamics courses, for courses in extended dynamics and complex dynamics as well as for geometric measure theory courses.
We will also organize interdisciplinary courses in physics and biology on the graduate level and plan to have some biology courses aimed for mathematicians in the same vein.
Intensive courses
Intensive courses will be given by outstanding professors invited from abroad as well as by the professors of the CoE themselves. Such courses have proved to be very effective. We shall also continue the successful practice of holding some of our research workshops in connection with the Jyväskylä Summer School. The following courses are already planned:
- Stochastic aspects of complex dynamics (M. Zinsmeister)
- Statistical turbulence: from numerical simulations to renormalization group analysis (A. Mazzino)
- Evolutionary dynamics through bifurcation analysis: methods and applications (F. Dercole)
The biomathematics group will also organize a bi-annual series of international schools in 2008, 2010and 2012 on the topic of mathematical ecology and adaptive dynamics, each lasting 5 days. The title of the series will be "The Helsinki Summer School on Mathematical Ecology and Evolution".
Seminars
The CoE will organize a series of weekly seminars that is to be attended by all our graduate students and post-docs, who will also give presentations themselves to improve their communication skills. Our students are also encouraged to attend the frequent seminars given by visitors to our departments.
Workshops
The CoE will organize two kinds of workshops:
1. Full-day seminars that cover the current activity of the CoE. These will introduce our students and post-docs to the full spectrum of our research, and help to exploit all collaborative possibilities within the CoE.
2. International workshops dedicated to particular research topics in January 2009, 2011, and 2013. These will last typically 3-5 days and have 20-30 participants, about two-thirds of them from abroad.
|
