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Now showing items 1-10 of 21
On radial basis functions
[SNAP-2019-002-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2019-03-13)
Many sciences and other areas of research and applications
from engineering to economics require the approximation
of functions that depend on many variables.
This can be for a variety of reasons. Sometimes
we have a ...
Diophantine equations and why they are hard
[SNAP-2019-003-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2019-04-24)
Diophantine equations are polynomial equations whose
solutions are required to be integer numbers. They
have captured the attention of mathematicians during
millennia and are at the center of much of contemporary
research. ...
Snake graphs, perfect matchings and continued fractions
[SNAP-2019-001-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2019-02-13)
A continued fraction is a way of representing a real
number by a sequence of integers. We present a new
way to think about these continued fractions using
snake graphs, which are sequences of squares in the
plane. You ...
Counting self-avoiding walks on the hexagonal lattice
[SNAP-2019-006-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2019-06-04)
In how many ways can you go for a walk along a
lattice grid in such a way that you never meet your
own trail? In this snapshot, we describe some combinatorial
and statistical aspects of these so-called
self-avoiding ...
Algebra, matrices, and computers
[SNAP-2019-005-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2019-05-03)
What part does algebra play in representing the real
world abstractly? How can algebra be used to solve
hard mathematical problems with the aid of modern
computing technology? We provide answers to these
questions that ...
Random permutations
[SNAP-2019-007-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2019-07-12)
100 people leave their hats at the door at a party and
pick up a completely random hat when they leave.
How likely is it that at least one of them will get
back their own hat? If the hats carry name tags,
how difficult ...
Nonlinear Acoustics
[SNAP-2019-008-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2019-09-04)
Nonlinear acoustics has been a topic of research for
more than 250 years. Driven by a wide range and a
large number of highly relevant industrial and medical
applications, this area has expanded enormously
in the last ...
On Logic, Choices and Games
[SNAP-2019-009-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2019-09-04)
Can we always mathematically formalise our taste
and preferences? We discuss how this has been done
historically in the field of game theory, and how recent
ideas from logic and computer science have brought
an interesting ...
Limits of graph sequences
[SNAP-2019-010-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2019-09-04)
Graphs are simple mathematical structures used to
model a wide variety of real-life objects. With the
rise of computers, the size of the graphs used for
these models has grown enormously. The need to efficiently
represent ...
Configuration spaces and braid groups
[SNAP-2019-011-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2019-10-08)
In this snapshot we introduce configuration spaces
and explain how a mathematician studies their ‘shape’.
This will lead us to consider paths of configurations
and braid groups, and to explore how algebraic properties
of ...