1,336 reputation
314
bio website unige.ch/math/folks/velenik
location Geneva, Switzerland
age 43
visits member for 1 year
seen 42 mins ago
stats profile views 100

Professor at the Mathematics department of the University of Geneva. Mostly working at the intersection of probability theory and statistical physics.


Mar
4
answered Is there a formal definition of a macroscopic variable in statistical mechanics?
Feb
16
comment How do we make symmetry assumptions rigorous?
@Hayeder: I just meant that the set of all solutions is left invariant under the action of the symmetry group (applying the transformation on one solution yields another solution).
Feb
13
comment How do we make symmetry assumptions rigorous?
Of course, in simple situations, like here, uniqueness is not difficult to establish. But, in any case, this is a prerequisite.
Feb
13
comment How do we make symmetry assumptions rigorous?
@TMS: the solutions to a problem with symmetry are not themselves symmetric in general. The only case in which this is guaranteed is when the solution is unique. What's always symmetric is the set of solutions, not the solutions themselves.
Feb
12
comment How do we make symmetry assumptions rigorous?
Well, this is just be wrong in general: what's true is that symmetry+uniqueness of the solution imply that the solution is symmetric...
Feb
7
comment Partition function of a gas of $N$ identical classical particles
Read, for example, this paper: link.springer.com/article/10.1023%2FA%3A1015161825292?LI=true .
Feb
7
comment Semiflexible discrete polymer chain
Seems equivalent to asking the magnetization of a classical XY chain. This is certainly well known (and probably amenable to a transfer matrix computation). Or am I missing something?
Jan
19
comment Why is there something rather than nothing?
@Manishearth: I actually think that this is as good an answer as can be provided to this question. Any scientific explanation will have to rely on some general laws, and then the question would indeed become "but why do these laws hold?".
Dec
12
comment The strong Markov property of Gibbs measures in 2D Ising Model
@Elias: Thanks for the comment regarding the reward on math.stackexchange, but I really do not care much about my "score" ;) .
Dec
12
comment The strong Markov property of Gibbs measures in 2D Ising Model
@Elias: I've added some additional explanations in a simpler settings. If this does not clarify the issue, then just tell me...
Dec
12
revised The strong Markov property of Gibbs measures in 2D Ising Model
added 1869 characters in body
Dec
11
comment The strong Markov property of Gibbs measures in 2D Ising Model
@Elias: of course, if you need additonal informations, don't hesitate to ask (it is never clear to what level of details one needs to go, and it also very much depends on where the confusion lies). You might also do that by email, my adress can be found on my homepage.
Dec
10
revised The strong Markov property of Gibbs measures in 2D Ising Model
added 7 characters in body
Dec
10
revised The strong Markov property of Gibbs measures in 2D Ising Model
Added refs to recent alternative approaches
Dec
10
revised The strong Markov property of Gibbs measures in 2D Ising Model
Slightly simplified
Dec
10
revised The strong Markov property of Gibbs measures in 2D Ising Model
Small correction
Dec
10
answered The strong Markov property of Gibbs measures in 2D Ising Model
Dec
3
awarded  Caucus
Nov
21
comment Where can I get Young & Freedman University Physics 13th Edition Instructor's Solution Manual?
No, this is probably not the right place to ask. Downloading books from sites such as en.bookfi.org is illegal and you should of course not do that (even though it seems that it contains the book you need).
Oct
24
comment What is a bulk phase transition?
@kηives: Yes, this is by opposition to, e.g., surface phase transitions. A typical example of the latter is the wetting transition.