#### Filter Results:

- Full text PDF available (45)

#### Publication Year

1993

2019

- This year (11)
- Last 5 years (29)
- Last 10 years (57)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- Yuliy Baryshnikov, Ed Coffman, Gomord Pierre, Dan Rubenstein, Mark Squillante, Teddy Yimwadsana
- 10th International Workshop on Web Content…
- 2005

Large swings in the demand for content are commonplace within the Internet. When a traffic hotspot happens, however, there is a delay before measures such as heavy replication of content can be… (More)

- Yuliy Baryshnikov, Robert Ghrist
- SIAM Journal of Applied Mathematics
- 2009

We solve the problem of counting the total number of observable targets (e.g., persons, vehicles, landmarks) in a region using local counts performed by a network of sensors, each of which measures… (More)

- Yuliy Baryshnikov, Robert Ghrist
- Proceedings of the National Academy of Sciences…
- 2010

We extend the theory of Euler integration from the class of constructible functions to that of "tame" R-valued functions (definable with respect to an o-minimal structure). The corresponding integral… (More)

In this note we discuss a possibility of introducing topological methods in the combinatorial paradigm of the social choice theory.

Classical (Birkhoff) billiards with full 1-parameter families of periodic orbits are considered. It is shown that construction of a convex billiard with a “rational” caustic (i.e. carrying only… (More)

We consider the problem of decomposing a compactly supported distribution f : Rn → [0,∞) into a minimal number of unimodal components by means of some convex operation (e.g., sum or sup). The… (More)

We consider a sequential interval packing process similar to the Renyi's 'car parking problem' but with a generator of random intervals which allows for arbitrarily small lengths. Embedding the… (More)

- Edmond A. Jonckheere, Mingji Lou, Francis Bonahon, Yuliy Baryshnikov
- Internet Mathematics
- 2011

This paper proposes a mathematical justification of the phenomenon of extreme congestion at a very limited number of nodes in very large networks. It is argued that this phenomenon occurs as a… (More)