# Search Results

Search type | Search syntax |
---|---|

Tags | [tag] |

Exact | "words here" |

Author |
user:1234 user:me (yours) |

Score |
score:3 (3+) score:0 (none) |

Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |

Views | views:250 |

Sections |
title:apples body:"apples oranges" |

URL | url:"*.example.com" |

Favorites |
infavorites:mine infavorites:1234 |

Status |
closed:yes duplicate:no migrated:no wiki:no |

Types |
is:question is:answer |

Exclude |
-[tag] -apples |

For more details on advanced search visit our help page |

A stochastic process is a collection of random variables usually indexed by a totally ordered set.

**5**

votes

**0**answers

Let $\mathbb{Z}^d$ be the usual $d$-dimensional lattice and let $\mathbb{H}:=\mathbb{Z}^{d-1}\times Z_+$, where $Z_+:=[0,1,2,\ldots]$. If we now consider bond percolation on $\mathbb{H}$, it is a wel …

asked Feb 7 '12 by Alex R.

**2**

votes

**0**answers

I've seen the following remark in a number of papers but don't know what to make of it. In this paper by Cohn, Elkies and Propp, it is mentioned that the normalized average Height function $\mathcal{H …

asked Mar 26 '14 by Alex R.

**11**

votes

**1**answer

Consider a Markov chain on $\mathbb{Z}^d$ with transition kernel $P$ for adjacent vertices (non-diagonal). Essentially this is a $d$ dimensional random walk with the probability of a transition depend …

asked Apr 23 '11 by Alex R.

**3**

votes

**1**answer

This question is somewhat related to this one. Loosely speaking, when should I expect a GOE/GUE distribution? The angle of my approach to this is not through statements such as "there is a natural inv …

asked Mar 11 '14 by Alex R.

**11**

votes

**2**answers

While doing laundry at my local laundromat, I saw a coin pusher game. Below is a picture, and here is a video depicting how it works (disregard non-coins).
alt text http://www.simpalife.com/wp-conte …

asked Sep 13 '11 by Alex R.

**3**

votes

**1**answer

Let $\gamma(i)$ be a self avoiding walk (SAW) on a 2D lattice $L$ (a square lattice for example) starting at a predefined origin ( $\gamma(0)=(0,0)$ ) and having length $n:=\ell(\gamma)$. Furthermore, …

asked Feb 2 '11 by Alex R.

**7**

votes

**2**answers

Take a simple random walk $\gamma$ in the complex plane conditioned to start at point $a$ and end at point $b$. For this random walk, we can define the winding number $W_\gamma(a,b)$ around $b$ in the …

asked Oct 13 '10 by Alex R.

**5**

votes

**1**answer

Let $D$ be the set of all Dyck paths on square grid of size $n\times n$. For any particular Dyck path, let $S(t)=X_1+X_2+\ldots +X_t$ store the path, where $X_i=\pm 1$. Being a Dyck path, we have $S(0 …

asked Apr 10 '13 by Alex R.

**10**

votes

**8**answers

Wigner's semicircle distribution is:
$$f(x)=\frac{1}{2 \pi}\sqrt{4-x^2}, \ \ -2\leq x\leq 2.$$
Under reasonable conditions, the rescaled eigenvalue density of random symmetric matrices $M_n$ follows …

asked Jun 19 '15 by Alex R.

**2**

votes

**0**answers

Let $M$ come from an ensemble of $N\times N$ matrices. The Wigner surmise is density function $p^W_0(s)=\frac{\pi}{2}se^{-\pi s^2/4}$. From a random matrix point of view, we can write $\rho^W_0(s)=\fr …

asked Oct 3 '14 by Alex R.

**3**

votes

**1**answer

In this paper by Nordenstam, it is shown that a certain interlacing particle process that arises from uniformly random Aztec diamond tilings is amazingly similar to Warren's process. One of the result …

asked Jan 27 '14 by Alex R.