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Now showing items 31-40 of 161
Quantum diffusion
[SNAP-2015-014-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2015)
If you place a drop of ink into a glass of water, the ink will slowly dissipate into the surrounding water until it is perfectly mixed. If you record your experiment with a camera and play the film backwards, you will see ...
Jewellery from tessellations of hyperbolic space
[SNAP-2022-005-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2022-06-02)
In this snapshot, we will first give an introduction to hyperbolic geometry and we will then show how certain matrix groups of a number-theoretic origin give rise to a large variety of interesting tessellations of 3-dimensional ...
Symmetry and characters of finite groups
[SNAP-2016-005-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2016)
Over the last two centuries mathematicians have developed an elegant abstract framework to study the natural idea of symmetry. The aim of this snapshot is to gently guide the interested reader through these ideas. In ...
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 ...
Determinacy versus indeterminacy
[SNAP-2020-004-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2020-04-22)
Can a continuous function on an interval be uniquely
determined if we know all the integrals of the function
against the natural powers of the variable? Following
Weierstrass and Stieltjes, we show that the answer is
yes ...
Shape space – a paradigm for character animation in computer graphics
[SNAP-2020-007-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2020-10-07)
Nowadays 3D computer animation is increasingly realistic
as the models used for the characters become
more and more complex. These models are typically
represented by meshes of hundreds of thousands or
even millions ...
Profinite groups
[SNAP-2016-014-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2016)
Profinite objects are mathematical constructions used to collect, in a uniform manner, facts about infinitely many finite objects. We shall review recent progress in the theory of profinite groups, due to Nikolov and Segal, ...
The codimension
[SNAP-2018-009-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2018-06-19)
In this snapshot we discuss the notion of codimension,
which is, in a sense, “dual” to the notion of dimension
and is useful when studying the relative position of
one object insider another one.
Zero-dimensional symmetry
[SNAP-2015-003-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2015)
This snapshot is about zero-dimensional symmetry. Thanks to recent discoveries we now understand such symmetry better than previously imagined possible. While still far from complete, a picture of zero-dimensional symmetry ...
Chaos and chaotic fluid mixing
[SNAP-2015-005-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2015)
Very simple mathematical equations can give rise to surprisingly complicated, chaotic dynamics, with behavior that is sensitive to small deviations in the initial conditions. We illustrate this with a single recurrence ...