### Recent Comments

dinostraurio on Seven Problems Around Tverberg… Matthew Cory on The Quantum Computer Puzzle @… Matthew Cory on The Quantum Computer Puzzle @… The Quantum Computer… on A Breakthrough by Maryna Viazo… The Quantum Computer… on Stefan Steinerberger: The Ulam… The Quantum Computer… on Polymath10-post 4: Back to the… Philip Gibbs on Stefan Steinerberger: The Ulam… Philip Gibbs on Stefan Steinerberger: The Ulam… Daniel on Stefan Steinerberger: The Ulam… Philip Gibbs on Stefan Steinerberger: The Ulam… Gil Kalai on Stefan Steinerberger: The Ulam… Gabriel Nivasch on Stefan Steinerberger: The Ulam… -
### Recent Posts

- The Quantum Computer Puzzle @ Notices of the AMS
- Three Conferences: Joel Spencer, April 29-30, Courant; Joel Hass May 20-22, Berkeley, Jean Bourgain May 21-24, IAS, Princeton
- Math and Physics Activities at HUJI
- Stefan Steinerberger: The Ulam Sequence
- TYI 26: Attaining the Maximum
- A Breakthrough by Maryna Viazovska Leading to the Long Awaited Solutions for the Densest Packing Problem in Dimensions 8 and 24
- Polymath10-post 4: Back to the drawing board?
- News (mainly polymath related)
- Polymath 10 Post 3: How are we doing?

### Top Posts & Pages

- Stefan Steinerberger: The Ulam Sequence
- A Breakthrough by Maryna Viazovska Leading to the Long Awaited Solutions for the Densest Packing Problem in Dimensions 8 and 24
- The Quantum Computer Puzzle @ Notices of the AMS
- TYI 26: Attaining the Maximum
- Updates and plans III.
- Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
- Polymath10-post 4: Back to the drawing board?
- When It Rains It Pours
- Emmanuel Abbe: Erdal Arıkan's Polar Codes

### RSS

# Monthly Archives: July 2008

## A Diamater Problem for Families of Sets.

Let me draw your attention to the following problem: Consider a family of subsets of size d of the set N={1,2,…,n}. Associate to a graph as follows: The vertices of are simply the sets in . Two vertices and are adjacent … Continue reading

Posted in Combinatorics, Convex polytopes, Open problems
10 Comments

## Extermal Combinatorics II: Some Geometry and Number Theory

Extremal problems in additive number theory Our first lecture dealt with extremal problems for families of sets. In this lecture we will consider extremal problems for sets of real numbers, and for geometric configurations in planar Euclidean geometry. Problem I: Given a set A of … Continue reading

## Arrow’s Economics 1

The annual Summer School in Economics at HU was directed until last year by Kenneth Arrow, along with Eyal Winter. Arrow decided this year to step down as a director and Eric Maskin is replacing him. The 2008 Summer School was … Continue reading

## Pushing Behrend Around

Erdos and Turan asked in 1936: What is the largest subset of {1,2,…,n} without a 3-term arithmetic progression? In 1946 Behrend found an example with Now, sixty years later, Michael Elkin pushed the the factor from the denominator to the enumerator, … Continue reading

Posted in Combinatorics, Updates
Tagged Arithmetic progressions, Roth's theorem, Szemeredi's theorem
10 Comments

## From Helly to Cayley IV: Probability

I decided to split long part III into two parts. This (truly) last part of this series deals with probabilistic problems and with combinatorial questions regarding higher Laplacians. 21. Higher Laplacians and their meanings Our high dimensional extension to Cayley’s … Continue reading

Posted in Combinatorics, Probability
7 Comments

## A New Rector-Elect at the Hebrew University of Jerusalem

Professor Sarah Stroumsa On Wednesday, the Senate of the Hebrew University of Jerusalem elected Professor Sarah Stroumsa (homepage) as the next Rector (provost) of the Hebrew University. For the first time since its establishment, the Hebrew University has elected a woman to its highest post … Continue reading

## Helly, Cayley, Hypertrees, and Weighted Enumeration III

This is the third and last part of the journey from a Helly type conjecture of Katchalski and Perles to a Cayley’s type formula for “hypertrees”. (On second thought I decided to divide it into two devoting the second to probabilistic questions.) … Continue reading

Posted in Combinatorics, Convexity, Open problems, Probability
6 Comments