554 citations
- University of CambridgeGB52 papers
- University of OxfordGB27 papers
- University of Illinois Urbana-ChampaignUS16 papers
- Space Telescope Science InstituteUS12 papers
- University of California, IrvineUS12 papers
- California Institute of TechnologyUS11 papers
- Carnegie ObservatoriesUS11 papers
- Flatiron Institute11 papers
- Leiden UniversityNL11 papers
- Université Bourgogne Franche-ComtéFR11 papers
- University of Colorado BoulderUS11 papers
- Center for Astrophysics Harvard & SmithsonianUS10 papers
15 papers · 1 filter
Nabla Discrete fractional Calculus and Nabla Inequalities
George A. Anastassiou
Here we define a Caputo like discrete nabla fractional difference and we produce discrete nabla fractional Taylor formulae for the first time. We estimate their remaiders. Then we…
Artificial Immune Systems
Uwe Aickelin, Dipankar Dasgupta
The biological immune system is a robust, complex, adaptive system that defends the body from foreign pathogens. It is able to categorize all cells (or molecules) within the body a…
On covering by translates of a set
Bela Bollobas, Svante Janson, Oliver Riordan
In this paper we study the minimal number of translates of an arbitrary subset of a group needed to cover the group, and related notions of the efficiency of such coverings…
Lion and Man -- Can Both Win?
B. Bollobás, I. Leader, M. Walters
This paper is concerned with continuous-time pursuit and evasion games. Typically, we have a lion and a man in a metric space: they have the same speed, and the lion wishes to catc…
Randomized Sensor Selection in Sequential Hypothesis Testing
Vaibhav Srivastava, Kurt Plarre, Francesco Bullo
We consider the problem of sensor selection for time-optimal detection of a hypothesis. We consider a group of sensors transmitting their observations to a fusion center. The fusio…
Shadows of ordered graphs
Béla Bollobás, Graham Brightwell, Robert Morris
Isoperimetric inequalities have been studied since antiquity, and in recent decades they have been studied extensively on discrete objects, such as the hypercube. An important spec…