Jerzy Mycielski

Jerzy Konorski JERZY KONORSKI MEMORIAL ADDRESS 0

Jerzy MARTYNA

In this paper, we investigate the impact of mobility on the performance of multi-hop wireless ad hoc and sensor networks. We introduced some models of mobility in these networks and studied their behavior in realistic situations. It concerns the basic relationship between link length and message transmission. Additionally, we take into consideration the probability of successful transmission in...

The Ehrenfeucht-Mycielski Sequence

We show that the Ehrenfeucht-Mycielski sequence U is strongly balanced in the following sense: for any finite word w of length k, the limiting frequency of w in U is 2. 1. The Ehrenfeucht-Mycielski Sequence In [2] Ehrenfeucht and Mycielski introduced an infinite binary word based on avoiding repetitions. More precisely, to construct the Ehrenfeucht-Mycielski (EM) sequence U , start with a singl...

Circular coloring and Mycielski construction

In this paper, we investigate circular chromatic number of Mycielski construction of graphs. It was shown in [20] that t Mycielskian of the Kneser graph KG(m,n) has the same circular chromatic number and chromatic number provided that m + t is an even integer. We prove that if m is large enough, then χ(M (KG(m,n))) = χc(M (KG(m,n))) where M t is t Mycielskian. Also, we consider the generalized ...

Lim , Jason Morton , and Jerzy

This workshop was sponsored by AIM and the NSF and it brought in participants from the US, Canada and the European Union to Palo Alto, CA to work to translate questions from quantum computing, complexity theory, statistical learning theory, signal processing, and data analysis to problems in geometry and representation theory. In all these areas, varieties in spaces of tensors that are invarian...