

CADSMAP
Research Reports
[Instructions for authors]
The Centre for Applied Dynamical
Systems, Mathematical Analysis
and Probability has its own Research Report Series.
Some reports are available for download.
[
1997

1998

1999

2000

2001

2002

2003
]
2003
0201

Chabrowski,J. and Tonkes, E.,
On Elliptic Systems Pertaining to the Schrodinger Equation

2002
0201

Jak, E., and Vladimirov, I.
Computing the distribution of polyanionic
chains in binary silicate melts on a basis of a random forest model,

0202

Diamond, P., Kloeden, P., and Vladimirov, I.
Mean anisotropy of homogeneous Gaussian random fields and
anisotropic norms of linear translation
invariant operators on multidimensional integer lattices

0203

Chabrowski, J. and Tonkes, E.
On the nonlinear Neumann problem
with critical and supercritical nonlinearities

0204

Bebbington, M., Pollett, P.K. and Ziedins, I.
Twolink approximation sche
mes for loss networks with linear structure and trunk reservation.

0205

Pollett, P.K.
Identifying Qprocesses with a given finite minvariant mea
sure.

0206

Pollett, P.K.
Integrals for continuoustime Markov chains.

0208

Pollett, P.K.
Optimal capacity assignment in general queueing networks.

0209

Pollett, P.K. and Stefanov, V.T.
Path integrals for continuoustime Markov chains.

0210

Pollett, P.K. and Thompson, M.R.
A new method for analysing the equilibrium and timedependent behaviour of Markovian models.

0211

Pollett, P.K. and Zhang, H.
Existence and uniqueness of Qprocesses wi
th a given finite minvariant measure.

0212

Thompson, M.R. and Pollett, P.K.
A reduced load approximation accounting for
link interactions in a loss network.

2001
0101

Vladimirov, I., Diamond, P. and Kloeden, P.,
Anisotropybased robust performance analysis of linear discrete
time varying systems

0102

Diamond, Phil and Opoitsev, Valery,
Stability of a class of differential inclusions

0103

Vladimirov, I.,
Anisotropybased optimal filtering in linear discrete time invariant
systems

0104

Vivaldi, F., and Vladimirov, I.,
Pseudorandomness of roundoff errors in discretized linear maps on the
plane

0105

Vladimirov, I., and Diamond, P.,
Robust filtering in finite horizon linear discrete time varying systems
by minim
um anisotropic norm criterion

2000
0001

Bebbington, M., Pollett, P.K. and Ziedins, I.
Product form approximations for highly linear loss networks with trunk
reservation

0002

Pollett, P.K. and Thompson, M.R.
The analysis of continuoustime Markovian models using expected rates

0003

Bean, N.G., Pollett, P.K. and Taylor, P.G.
The quasistationary distributions of
leveldependent quasibirthanddeath processes

0004

Pollett, P.K.
Resource allocation queueing networks

0005

Clancy, D., O'Neill, P.D. and Pollett, P.K.
Approximations for the longterm behaviour of an openpopulation epidemic model

0006

Pollett, P.K.
Similar Markov chains

0007

Pollett, P.K.
Resource allocation in general
queueing networks with applications to data networks

0008

Thompson, M.R. and Pollett, P.K.
A reduced load approximation accounting for link interactions
in a loss network

1999
9901

Darlington, S.J. and Pollett, P.K.
Quasistationarity in continuous time Markov chains where absorption
is not certain

9902

Pollett, P.K.
Bottlenecks in Markovian queueing networks

9903

Yuan, George.
The calibration of BlackDermanToy / BlackKarasinski
short rate models and pricing Bermudan swaptions

9904

Yang, C.C. and Yuan, George.
Another new way to price American options by using
interior point method

9905

Yuan, George.
The characterisation of generalised metric KKM mappings with
open values in hyperconvex metric spaces and some applications.

9906

Yuan, George, Isac, G., Tan, K.K. and Yu, J.
The study of minimax inequalities,
abstract economics and applications to variational inequalities and
Nash equilibria

9907

Kim, W.K. and Yuan, George.
On a new existence of equilibrium in SSC

9908

Kirk, A.W., Sims, B. and Yuan, George.
The KKM theory in hyperconvex metric space and some of its applications

9909

Isac, G. and Yuan, G.
The dual form of KKM principle in hyperconvex metric spaces and some
applications

9910

Wu, X. and Yuan, George.
Approximate selection, fixed point, almost fixed point of
multivalued mappings and generalised quasivariational inequality in
Hspaces

9911

Chang, S.S., Thompson, B. and Yuan, G.
The existence theorems of solutions for
generalised vectorvalued variationallike inequalities

9912

Kim, W.K. and Yuan, George.
New existence of equilibria in generalised social systems with coordination

9913

Isac, G. and Yuan, G.
The essential components of coincident points
for weakly inward and outerward setvalued mappings

9914

Sims, B., Xu, H.K. and Yuan, G.
The homotopic invariance for fixed points
of setvalued nonexpansive mappings

9915

Lee, B.S., Cho, Y.J. and Yuan, G.
The characterisation of generalisation KKMmapping with finitely open
values in topological vector spaces

9916

Isac, G. and Yuan, G.
Remarks on the existence of maximal elements
with respect to a binary relation in noncompact topological spaces

9917

Tarafdar, E. and Yuan, George.
Variational inequalities and applications to generalized
complementarity problems, fixed point theorems of setvalued mappings and
minimization problems

9918

Yuan, George.
Wavelet analysis and its applications in statistics

9919

Bebbington, M., Pollett, P.K. and Ziedins, I.
Product form approximations for highly linear loss networks with trunk
reservation

9920

Pollett, P.K. and Thompson, M.R.
The analysis of continuoustime Markovian models using expected rates

9921

Pollett, P.K.
Quasistationarity in populations that are subject to largescale
mortality or emigration

9922

Clancy, D., O'Neill, P.D. and Pollett, P.K.
The longterm behaviour of an openpopulation epidemic model.

9923

Diamond, Phil and Vladimirov, I.
Setvalued Markov chains and negative semitrajectories of discretized
dynamical systems

9924

Diamond, Phil and Vladimirov, I.
Higher order terms in asymptotic expansion for information loss in
quantized random processes

9925

Diamond, Phil and Vladimirov, I.
Discretized unimodal mappings and branching processes

9926

Diamond, Phil and Vladimirov, I.
Rigorous justification of the uniform white noise model for roundoff
errors in fixed point digital filters

9927

Pollett, P.K.
Identifying Qprocesses with a given finite
minvariant
measure

9928

Pollett, P.K.
Modelling congestion in closed queueing networks

9929

Vladimirov I., Kuznetsov N. and Diamond P.,
Frequency measurability, algebras of quasiperiodic sets and spatial
discretizations of smooth dynamical systems

1998
9801

Tarafdar, E. and Yuan, X.Z. (George)
Some applications of KnasterKuratowski and Mazurkiewicz principle in
hyperconvex metric spaces

9802

Bebbington, M., Pollett, P.K. and Ziedins, I.
Product form approximations for highly linear loss networks with
trunk reservation

9803

Bebbington, M., Pollett, P.K. and Ziedins, I.
Twolink approximation schemes for linear loss
networks without controls

9804

CoolenSchrijner, P., Hart, A.G. and Pollett, P.K.
Quasistationarity of continuoustime Markov chains with positive drift

9805

Yuan, George XianZhi,
Fixed points of upper semicontinuous mappings in locally Gconvex Spaces

9806

DjafariRouhani, B., Tarafdar E. and Watson, P.J.
Coincidences and a fixed point theorem

9807

Yang, GanShang and Yuan, George XianZhi,
A characteristic of strong separation property for convex sets without
compactness in locally convex spaces and some applications

9808

Ding, X.P. and Yuan, George XianZhi,
The study of existence of equilibria for generalized games without lower
semicontinuity in locally convex TVS

9809

Isac, George and Yuan, George XianZhi,
The generic stability and existence of essentially connected components
of solutions for nonlinear complementarity problems

9810

Isac, George and Yuan, George XianZhi,
The existence of essentially connected components of solutions for
variational inequalities

9811

DjafariRouhani, B., Tarafdar E. and Watson, P.J.,
Simultaneous solutions of an uncountable family of variational
inequalities

9812

Mark Bebbington, Phil Pollett, Ilze Ziedins,
Twolink approximation schemes for loss networks with linear structure
and trunk reservation

9813

Diamond, Phil and Vladimirov, I.,
Loss of invertibility of smooth diffeomorphisms under spatial
discretization



1997
9701

Diamond, P. and Vladimirov, I.
Asymptotic independence and uniform distribution of quantization errors
for spatially discretized dynamical systems

9702

Bean, N.G., Pollett, P.K. and Taylor, P.G.,
The quasistationary distributions of levelindependent
quasibirthanddeath
processes.

9703

Tarafdar, E. and Yuan, X.Z.(George),
The existence of equilibria for generalized games without lower
semicontinuity
for constraint mappings

9704

Pollett, P.K. and Schrijner, P.
Quasistationarity of discretetime Markov chains with drift to
infinity

9705

Yuan, X.Z.(George) and Yu, J.,
The existence and generic stability for Nashequlibria and Walrasian
equilibria

9706

Pollett, P.K.,
Limiting conditional distributions for
stochastic metapopulation models

9707

Yuan, X.Z.(George),
The study of existence of equilibria for noncompact abstract economics

9708

Pollett, P.K.,
Optimal allocation of effort in packet
switching networks with generally distributed
transmission times

9709

Yang, G.S. and Yuan, X.Z.(George),
A sufficient and necessary condition for upper hemicontinuous setvalued
mappings without compactvalues being upper demicontinuous

9710

Bean, N.G., Pollett, P.K. and Taylor, P.G.,
Betainvariant measures for leveldependent quasibirthanddeath processes

9711

Zhu, Y.G. and Yuan, X.Z.(George),
The existence of nontrivial solutions for variational inequalities by
using solution index approach

9712

Pollett, P.K.,
Quasistationary distributions for
continuous time Markov chains when absorption
is not certain

9713

Yuan, X.Z.(George),
The study of noncompact generalized games with Lmajorized
mappings in locally TVS

9715

Luo, Q., Yuan, X.Z.(George) and Sun, T.X.,
The existence of essential components for coincident points of
setvalued
mappings

9716

Takahashi, W., Tarafdar, E. and Yuan, X.Z.(George),
The existence and stability of saddle points and minimax theorems for
vectorvalued mappings in vector optimization theory

9717

George XianZhi Yuan,
Fixed points of upper semicontinuous mappings in locally convex MCspaces



