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Research Publications
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R. Brak, Jan de Gier and Vladimir Rittenberg |
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Nonequilibrium stationary states ans
equilibrium models with long range interactions |
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J. Phys A. 37, (2004) 4303-4320 (cond-mat/0311149) |
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R. Brak and J. Essam |
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Asymmetric Exclusion Model and Weighted
Lattice paths |
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Submitted to J. Phys A. 2003 (cond-mat/0311153) |
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R. Brak and J. Essam |
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Bicoloured Dyck paths and the contact
polynomial for n non-intersecting paths in a half-plane lattice. |
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Elec. J. Comb. 10(1), 2003. |
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A. C. Oppenheim, R. Brak and A. L.
Owczarek |
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Anisotropic step, mutual contact and
area weighted festoons and parallelogram polyominoes on the triangular
lattice. |
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J. Phys. A., 35, 1-18, 2002. |
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A. C. Oppenheim, R. Brak and A. L.
Owczarek |
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Anisotropic step, surface contact,
and area weighted directed
walks on the triangular lattice. |
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J. Phys. A., 34, ??, 2002. |
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PDF |
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R. Brak and J. Essam |
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Return polynomials for non-intersecting
paths above a surface on the directed square lattice. |
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J. Phys. A., 34, 10763-10782, 2001. |
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R. Brak and J. Essam and A. L. Owczarek |
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Scaling analysis for the absorption
transition in a
watermelon network of $n$ directed non-intersecting walks |
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J. Stat. Phys. 102, 997–1017,
2001. |
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PDF |
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R. Brak and J. W. Essam |
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Directed Percolation near a wall: III.
Exact
results for the mean length and number of contacts |
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J. Phys. A., 31, 4851-4869, 1999. |
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PDF |
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R. Brak and J. Essam and A. L. Owczarek |
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Exact solution of N directed non-intersecting
walks
interacting with one or two boundaries |
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J. Phys. A., 32, 2921--2929, 1999. |
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PDF |
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R. Brak and J. Essam and A. L. Owczarek |
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Partial Difference equation method
for lattice path problems |
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Annals of Comb., 3, 265--275, 1999. |
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R. Brak and A. L. Owczarek |
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A Combinatorial Interpretation of the
Free Fermion
Condition of the Six-Vertex Model |
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J. Phys. A., 32, 3497-3503, 1999. |
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R. Brak and J. W. Essam and A. Owczarek |
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New results for directed vesicles and
chains near an attractive wall |
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J. Stat. Phys., 93, 155-192, 1998. |
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PDF |
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R. Brak and J. Essam and A. L. Owczarek |
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From the Bethe Ansatz to the Gessel-Viennot
Theorem |
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Annals of Comb., 3, 251-263, 1998. |
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PDF |
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R. Brak and P. P. Nidras and A. L.
Owczarek |
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Cluster Structure of Collapsing Polymers |
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J. Stat. Phys., 91, 75-93, 1998. |
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R. Brak and A. L. Owczarek and C. Soteros |
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On Anisotropic Spiral Self-avoiding
Walks |
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J. Phys. A., 31, 4851-4869, 1998. |
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F. M. Bhatti and R. Brak and J. W.
Essam and T. L. Lookman |
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Series expansion analysis of the backbone
properties of two-dimensional percolation clusters |
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J. Phys. A., 30, p6215, 1997. |
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R. Brak |
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Osculating lattice paths and alternating
sign matrices |
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Formal Power Series and Alegebraic
Combinatorics, 9th Conference, 1997. |
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Addendum
(important). |
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A. L. Owczarek and A. Rechnitzer and
R. Brak and A. J. Guttmann |
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On the hulls of directed percolation
clusters |
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J. Phys. A., 30, 6679-6691, 1997. |
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PDF |
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P.Nidras and R. Brak |
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New Monte Carlo algorithms for interacting
self-avoiding walk |
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J. Phys. A., 30, 1457, 1997. |
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PDF |
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R. Brak and A. L. Owczarek |
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On the analyticity properties of scaling
functions in models
of polymer collapse |
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J. Phys. A., 28, 4709-4725, 1995. |
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PDF |
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D. Bennett-Wood and R. Brak and A.
J. Guttmann and A. L. Owczarek and T. Prellberg |
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Low Temperature Partition Function
Scaling: Series Analysis Results |
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J. Phys. A., 27, L1--L8, 1994. |
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R. Brak and A. L. Owczarek and T. Prellberg |
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Exact Scaling Behaviour of Partially
Convex Vesicles |
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J. Stat. Phys., 76,1101--1128, 1994. |
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PDF |
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T. Prellberg and R. Brak |
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Critical Exponents from non-linear
functional equations for directed cluster models |
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J. Stat. Phys., 1994. |
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R. Brak and A. L. Owczarek and T. Prellberg |
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A Scaling Theory of Collapse Transitions
in Geometric
Cluster Models of Polymers and Vesicles |
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J. Phys. A., 26, 4565--4579, 1993. |
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A. Conway and R. Brak and A. J. Guttmann |
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Directed Animals on Two Dimensional
Lattices |
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J. Phys. A, 26, 3085--3091, 1993. |
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PDF |
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A. L. Owczarek and T. Prellberg and
R. Brak |
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A New Scaling Form for the Collapsed
Polymer Phase |
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Phys. Rev. Lett., 70, 951--953, 1993. |
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PDF |
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A. L. Owczarek and T. Prellberg and
R. Brak |
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Reply to Exact Scaling Form for the
2D Polymer Phase |
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Phys. Rev. Lett., 71, 4275, 1993. |
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A. L. Owczarek and T. Prellberg and
R. Brak |
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The Tricritical Behaviour of Self--interacting
Partially Directed Walks |
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J. Stat. Phys., 72, 737--772, 1993. |
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R. Brak, A. J. Guttmann and S. G. Whittington |
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A collapse transition in a directed
walk model |
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J. Phys. A, 25, 2437---2446, 1992. |
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PDF |
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T. Prellberg and A. L. Owczarek and
R. Brak and A. J. Guttmann |
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Finite Length Scaling of Collapsing
Directed Walks |
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Phys. Rev. E., 48, 2386--2396, 1993. |
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PDF |
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R. Brak and R. J. Elliott |
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Atomic diffusion in random systems |
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Microionics Solid-State Integrable
Batteries. ed. M. Balkanski, North-Holland: Amsterdam", p99,
1991. |
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PDF |
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R. Brak, A. J. Guttmann and S. G. Whittington |
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On the behaviour of collapsing linear
and branched polymers |
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J. Math. Chem., 8,255---267, 1991. |
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PDF |
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R. Brak and A J Guttmann |
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Exact solution of the staircase and
row-convex polygon perimeter and area generating function |
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J. Phys A, 23, 4581---4588, 1990. |
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PDF |
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R. Brak and A J Guttmann |
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Algebraic Aproximants: A new method
of series analysis |
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J. Phys A, 23, L1331-L1337, 1990. |
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PDF |
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R. Brak and A J Guttmann and I. G.
Enting |
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Exact solution of the row-convex polygon
perimeter generating function |
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J. Phys A, 23, 2319---2326, 1990. |
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PDF |
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R. Brak and R.J. Elliott |
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Correlated Tracer Diffusion in a Disordered
Medium |
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Materials Science and Engineering,
B3, 159---162, 1989. |
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N/A |
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R. Brak and R.J. Elliott |
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Correlated Random Walks with Random
Hopping Rates |
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J. Phys. Cond. Matter, 1,10299---10319,
1989. |
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N/A |
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R. Brak and J.W. Essam and M.F. Sykes |
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Reciprocal Relations for the Weight
Factors arising in the Expansion of the Backbone Percolation Functions |
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J. Phys. A, 22, 3361-3369, 1989. |
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N/A |
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M. K. Wilkinson and R. Brak |
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Multifractal Properties of Absorption
Probabilities |
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J. Phys. A, 21, 2131---2142, 1988. |
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N/A |
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M. K. Wilkinson and R. Brak |
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Absorption Probability Distribution
for Rough Surfaces |
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J. Phys. A, 20, L307---L311, 1987. |
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N/A |
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G. S. Joyce and R. Brak |
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An Exact Solution for a Spiral Self-Avoiding
Walk Model on the Triangular Lattice |
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J. Phys. A, 18, L293---L298, 1985. |
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N/A |
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D. S. Gaunt and R. Brak |
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On the Percolation Threshold for a
d-Dimensional Simple Hypercubic Lattice |
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J.Phys.A, 17, 1761--1765, 1984. |
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N/A |
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