Hamilton Institute Seminars (iPod / small)

Hamilton Institute Seminars (iPod / small)

The Hamilton Institute is a multi-disciplinary research centre established at the National University of Ireland, Maynooth in November 2001. The Institute seeks to provide a bridge between mathematics and its applications in ICT and biology. In this podcast feed, we make accessible some of the best seminars held by members of the Hamilton Institute, visitors or guest speakers. Futhermore, it will also contain the lectures give as part of the 'Network Mathematics Graduate Programme'. The video files contained in this feed should be fully compatible with all video capable iPods and newer devices.

Episodes

Periodicity of Matrix Powers in Max Algebra

August 6, 2013 • 55 mins
Speaker: Dr. S. Sergeev Abstract: It is well known that the sequence of max-algebraic powers of irreducible nonnegative matrices is ultimately periodic. We express this periodicity in terms of CSR-representations and give new bounds on the transient time after which the max-algebraic powers become periodic.
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Very High Speed Networking in VMs and Bare Metal

July 4, 2013 • 72 mins
Speaker: Prof. L. Rizzo Abstract: In this talk I will give a survey of solutions and tools that we have developed in recent years to achieve extremely high packet processing rates in commodity operating systems, running on bare metal and on virtual machines. Our NETMAP framework supports processing of minimum size frames from user space at 10 Gbits per second (14.88 Mpps) with very small CPU usage. Netmap is hardware independe...
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ROMA: Random Overlook Mastering ATFM

March 20, 2013 • 39 mins
Speaker: C. Lancia Abstract: Consider the arrival process defined by t_i=i + \xi_i, where \xi_i are i.i.d random variables. First introduced in the 50's, this arrival process is of remarkable importance in Air Traffic Flow Management and other transportation systems, where scheduled arrivals are intrinsically subject to random variations; other frameworks where this model has proved to be capable of a good description of actual...
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Machine-to-Machine in Smart Cities & Smart Grids Vision, Technology & Applications

January 20, 2013 • 78 mins
Speaker: Dr. M. Dohler Abstract: The unprecedented communication paradigm of machine-to-machine (M2M), facilitating 24/7 ultra-reliable connectivity between a prior unseen number of automated devices, is currently gripping both industrial as well as academic communities. Whilst applications are diverse, the in-home market is of particular interest since undergoing a fundamental shift of machine-to-human communications towards f...
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State Constrained Optimal Control

November 28, 2012 • 59 mins
Speaker: Prof. R. Vinter Abstract: Estimates on the distance of a nominal state trajectory from the set of state trajectories that are confined to a closed set have an important unifying role in optimal control theory. They can be used to establish non-degeneracy of optimality conditions such as the Pontryagin Maximum Principle, to show that the value function describing the sensitivity of the minimum cost to changes of the ini...
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Effective Information Delivery Through Opportunistic Replication in Wireless Networks

November 27, 2012 • 78 mins
Speaker: Prof. L. Tassiulas Abstract: Increased replication of information is observed in modern wireless networks either in pre-planned content replication schemes or through opportunistic caching in intermediate relay nodes as the information flows to the final destination or through overhearing of broadcast information in the wireless channel. In all cases the available other node information might be used to effectively inc...
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Dynamics of Some Cholera Models

November 21, 2012 • 61 mins
Speaker: Prof. P. van den Driessche Abstract: The World Health Organization estimates that there are 3 to 5 million cholera cases per year with 100 thousand deaths spread over 40 to 50 countries. For example, there has been a recent cholera outbreak in Haiti. Cholera is a bacterial disease caused by the bacterium Vibrio cholerae, which can be transmitted to humans directly by person to person contact or indirectly via the envir...
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Distributed Opportunistic Scheduling: A Control Theoretic Approach

October 9, 2012 • 59 mins
Speaker: Prof. A. Banchs Abstract: Distributed Opportunistic Scheduling (DOS) techniques have been recently proposed to improve the throughput performance of wireless networks. With DOS, each station contends for the channel with a certain access probability. If a contention is successful, the station measures the channel conditions and transmits in case the channel quality is above a certain threshold. Otherwise, the station d...
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Large-scale urban vehicular networks: mobility and connectivity

October 4, 2012 • 52 mins
Speaker: Dr. M. Fiore Abstract: Vehicular networks are large scale communication systems that exploit wireless technologies to interconnect moving cars. Vehicular networks are envisioned to provide drivers with real time information on potential dangers, on road traffic conditions, and on travel times, thus improving road safety and traffic efficiency. Direct vehicle-to-vehicle communication is also foreseen to enable nonsafety...
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Learning Cell Cycle Variability at the Level of each phase

September 26, 2012 • 43 mins
Speaker: Dr. T. Weber Abstract: Inter-cellular variability in the duration of the cell cycle is a well documented phenomena which has been integrated into mathematical models of cell proliferation since the 70’s. Here I present a minimalist stochastic cell cycle model that allows for inter-cellular variability at the level of each single phase, i.e. G1, S and G2M. Fitting this model to flow cytometry data from 5-bromo-2'-deoxyu...
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EPT functions: Non-negativity analysis, Levy processes and Financial applications

September 16, 2012 • 59 mins
Speaker: Prof. B. Hanzon Abstract: Exponential Polynomial Trigonometric (EPT) functions are being considered as probability density functions. A specific matrix-vector representation is proposed for doing calculations with these functions. We investigate when these functions are non-negative and under which conditions the density functions are infinitely divisible--in which case there is an associated Levy process. Application ...
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Playing with Standards: the IEEE 802.11 case

September 11, 2012 • 62 mins
Speaker: Dr. F. Gringoli Abstract: Experimenting in the field is a key activity for the evolution of the modern Internet: this is especially true for radio access protocols like IEEE 802.11 that are usually affected by unpredictable issues due to noise, competing stations and interference. Here we introduce OpenFWWF, an opensource firmware that implements a fully compliant 802.11 MAC on off-the-shelf WiFi boards: we show how it...
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In Search of Optimality: Network Coding for Wireless Networks

August 28, 2012 • 59 mins
Speaker: Dr. M. A. Chaudry Abstract: Network coding has gained significant interest from the research community since the first paper by Alshwede et al., in 2000. Network coding techniques can significantly increase the overall throughput of wireless networks by taking advantage of their broadcast nature. We focus on network coding for wireless networks; specifically we investigate the Index Coding problem. In wireless network...
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On Continuous Counting and Learning in a Distributed System

August 2, 2012 • 65 mins
Speaker: Dr. B. Radunović Abstract: Consider a distributed system that consists of a coordinator node connected to multiple sites. Items from a data stream arrive to the system one by one, and are arbitrarily distributed to different sites. The goal of the system is to continuously track a function of the items received so far within a prescribed relative accuracy and at the lowest possible communication cost. This class of pro...
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Multi-channel MAC Protocols for Wireless Sensor Networks

July 30, 2012 • 40 mins
Speaker: Dr. C. Cano Abstract: Wireless Sensor Networks (WSNs) are networks formed by highly constrained devices that communicate measured environmental data using low-power wireless transmissions. The increase of spectrum utilization in non-licensed bands along with the reduced power used by these nodes is expected to cause high interference problems in WSNs. Therefore, the design of new dynamic spectrum access techniques spec...
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Networking Infrastructure and Data Management for Cyber-Physical Systems

July 9, 2012 • 68 mins
Speaker: S. Han Abstract: A cyber-physical system (CPS) is a system featuring a tight combination of, and coordination between, the system's computational and physical elements. A large-scale CPS usually consists of several subsystems which are formed by networked sensors and actuators, and deployed in different locations. These subsystems interact with the physical world and execute specific monitoring and control functions. H...
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Cracking the Cutoff Window

June 10, 2012 • 39 mins
Speaker: C. Lancia Abstract: The cutoff phenomenon is the abrupt convergence to stationarity of a Markov chain. It is characterized by a narrow window centered around a cutoff-time in which the distance from stationarity suddenly drops from 1 to 0. All the examples in which cutoff was detected clearly indicate that a drift towards the opportune quantiles of the stationary measure could be held responsible for this phenomenon. ...
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Reaching Consensus about Gossip

May 27, 2012 • 72 mins
Speaker: Prof. P. Thiran Abstract: An increasingly larger number of applications require networks to perform decentralized computations over distributed data. A representative problem of these “in-network processing” tasks is the distributed computation of the average of values present at nodes of a network, known as gossip algorithms. They have received recently significant attention across different communities (networking, a...
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The Role of Kemeny's Constant in Properties of Markov Chains

May 8, 2012 • 52 mins
Speaker: Prof. J. J. Hunter Abstract: In a finite m-state irreducible Markov chain with stationary probabilities {\pi_i} and mean first passage times m_{ij} (mean recurrence time when i=j) it was first shown, by Kemeny and Snell, that \sum_{j=1}^{m}\pi_jm_{ij} is a constant, K, not depending on i. This constant has since become known as Kemeny’s constant. We consider a variety of techniques for finding expressions for K, derive...
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Experiences in Industrial Mathematics in Ireland

April 22, 2012 • 56 mins
Speaker: Prof. S. O'Brien Abstract: In the context of the Macsi industrial mathematics group, we look at the types of problems which have arisen from industrial collaboration and examine a couple of these in detail. In particular, we look at a mathematical model for etching glass with acids which arose from a study group with industry problem presented by Waterford Crystal.
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