TY  - JOUR
AU  - Anđelković, Miroslav
AU  - Maletić, Slobodan
AU  - Stošić, Tatijana
AU  - Stošić, Borko
PY  - 2024
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/13178
AB  - Applied algebraic topology is employed in this work to shed new light on the rainfall dynamics in the Pernambuco state, Brazil. Historical data from the NASA's Tropical Rainfall Measuring Mission (TRMM) precipitation processing system, for the period 1998 to 2020 with a spatial resolution of 0.25° and temporal resolution of 3 h is used to construct correlation matrices in different time frames. Matrices are then analyzed in terms of topological constructs of network theory to yield novel insights into this highly complex phenomenon in this semiarid, ecologically vulnerable area. The outcomes of the algebraic topological analysis reveal clustering patterns of areas and are related to natural climate phenomena. Together with the generality of the applied methodology, the results suggest a broad scope of future applications for the extraction of patterns in datasets related to the changes in the climate system.
T2  - Chaos, Solitons and Fractals
T1  - Rainfall dynamics in an ecologically vulnerable area using applied algebraic topology methods
VL  - 182
SP  - 114782
DO  - 10.1016/j.chaos.2024.114782
ER  - 

@article{
author = "Anđelković, Miroslav and Maletić, Slobodan and Stošić, Tatijana and Stošić, Borko",
year = "2024",
abstract = "Applied algebraic topology is employed in this work to shed new light on the rainfall dynamics in the Pernambuco state, Brazil. Historical data from the NASA's Tropical Rainfall Measuring Mission (TRMM) precipitation processing system, for the period 1998 to 2020 with a spatial resolution of 0.25° and temporal resolution of 3 h is used to construct correlation matrices in different time frames. Matrices are then analyzed in terms of topological constructs of network theory to yield novel insights into this highly complex phenomenon in this semiarid, ecologically vulnerable area. The outcomes of the algebraic topological analysis reveal clustering patterns of areas and are related to natural climate phenomena. Together with the generality of the applied methodology, the results suggest a broad scope of future applications for the extraction of patterns in datasets related to the changes in the climate system.",
journal = "Chaos, Solitons and Fractals",
title = "Rainfall dynamics in an ecologically vulnerable area using applied algebraic topology methods",
volume = "182",
pages = "114782",
doi = "10.1016/j.chaos.2024.114782"
}

Anđelković, M., Maletić, S., Stošić, T.,& Stošić, B.. (2024). Rainfall dynamics in an ecologically vulnerable area using applied algebraic topology methods. in Chaos, Solitons and Fractals, 182, 114782.
https://doi.org/10.1016/j.chaos.2024.114782

Anđelković M, Maletić S, Stošić T, Stošić B. Rainfall dynamics in an ecologically vulnerable area using applied algebraic topology methods. in Chaos, Solitons and Fractals. 2024;182:114782.
doi:10.1016/j.chaos.2024.114782 .

Anđelković, Miroslav, Maletić, Slobodan, Stošić, Tatijana, Stošić, Borko, "Rainfall dynamics in an ecologically vulnerable area using applied algebraic topology methods" in Chaos, Solitons and Fractals, 182 (2024):114782,
https://doi.org/10.1016/j.chaos.2024.114782 . .

TY  - JOUR
AU  - Stošić, Borko D.
AU  - Stošić, Tatijana
AU  - Fittipaldi, Ivon P.
PY  - 2005
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2911
AB  - While the Ising model on the Cayley tree has no spontaneous magnetization at nonzero temperatures in the thermodynamic limit, we show that finite systems of astronomical sizes remain magnetically ordered in a wide temperature range, if the symmetry is broken by fixing an arbitrary single (bulk or surface) spin. We compare the behavior of the finite size magnetization of this model with that of the [sing model on both the Sierpinski gasket, and the one-dimensional linear chain. This comparison reveals the analogy of the behavior of the present model with the Sierpinski gasket case. (c) 2005 Elsevier B.V. All rights reserved.
T2  - Physica A: Statistical Mechanics and Its Applications
T1  - Thermodynamic limit for the Ising model on the Cayley tree
VL  - 355
IS  - 2-4
SP  - 346
EP  - 354
DO  - 10.1016/j.physa.2005.01.039
ER  - 

@article{
author = "Stošić, Borko D. and Stošić, Tatijana and Fittipaldi, Ivon P.",
year = "2005",
abstract = "While the Ising model on the Cayley tree has no spontaneous magnetization at nonzero temperatures in the thermodynamic limit, we show that finite systems of astronomical sizes remain magnetically ordered in a wide temperature range, if the symmetry is broken by fixing an arbitrary single (bulk or surface) spin. We compare the behavior of the finite size magnetization of this model with that of the [sing model on both the Sierpinski gasket, and the one-dimensional linear chain. This comparison reveals the analogy of the behavior of the present model with the Sierpinski gasket case. (c) 2005 Elsevier B.V. All rights reserved.",
journal = "Physica A: Statistical Mechanics and Its Applications",
title = "Thermodynamic limit for the Ising model on the Cayley tree",
volume = "355",
number = "2-4",
pages = "346-354",
doi = "10.1016/j.physa.2005.01.039"
}

Stošić, B. D., Stošić, T.,& Fittipaldi, I. P.. (2005). Thermodynamic limit for the Ising model on the Cayley tree. in Physica A: Statistical Mechanics and Its Applications, 355(2-4), 346-354.
https://doi.org/10.1016/j.physa.2005.01.039

Stošić BD, Stošić T, Fittipaldi IP. Thermodynamic limit for the Ising model on the Cayley tree. in Physica A: Statistical Mechanics and Its Applications. 2005;355(2-4):346-354.
doi:10.1016/j.physa.2005.01.039 .

Stošić, Borko D., Stošić, Tatijana, Fittipaldi, Ivon P., "Thermodynamic limit for the Ising model on the Cayley tree" in Physica A: Statistical Mechanics and Its Applications, 355, no. 2-4 (2005):346-354,
https://doi.org/10.1016/j.physa.2005.01.039 . .

TY  - JOUR
AU  - Stošić, Tatijana
AU  - Stošić, Borko D.
AU  - Moreira, Francisco George Brady
PY  - 1998
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2159
AB  - In this paper we use a diagrammatic technique to determine the exact recursion relations for the partition function of the Ising model in an external magnetic field, situated on the first two members of the checkerboard family of fractal lattices embedded in two dimensions. This represents the first exact general solution of this model for the case of nonzero field. The closed-form expression for the partition function is obtained for the first member in the zero-field limit and the nonzero-field recursion relations prove sufficient for exact evaluation of the response functions. We also calculate the temperature dependence of the specific heat and susceptibility.
T2  - Physical Review E
T1  - Exact solution of the Ising model on checkerboard fractals in an external magnetic field
VL  - 58
IS  - 1
SP  - 80
EP  - 85
DO  - 10.1103/PhysRevE.58.80
ER  - 

@article{
author = "Stošić, Tatijana and Stošić, Borko D. and Moreira, Francisco George Brady",
year = "1998",
abstract = "In this paper we use a diagrammatic technique to determine the exact recursion relations for the partition function of the Ising model in an external magnetic field, situated on the first two members of the checkerboard family of fractal lattices embedded in two dimensions. This represents the first exact general solution of this model for the case of nonzero field. The closed-form expression for the partition function is obtained for the first member in the zero-field limit and the nonzero-field recursion relations prove sufficient for exact evaluation of the response functions. We also calculate the temperature dependence of the specific heat and susceptibility.",
journal = "Physical Review E",
title = "Exact solution of the Ising model on checkerboard fractals in an external magnetic field",
volume = "58",
number = "1",
pages = "80-85",
doi = "10.1103/PhysRevE.58.80"
}

Stošić, T., Stošić, B. D.,& Moreira, F. G. B.. (1998). Exact solution of the Ising model on checkerboard fractals in an external magnetic field. in Physical Review E, 58(1), 80-85.
https://doi.org/10.1103/PhysRevE.58.80

Stošić T, Stošić BD, Moreira FGB. Exact solution of the Ising model on checkerboard fractals in an external magnetic field. in Physical Review E. 1998;58(1):80-85.
doi:10.1103/PhysRevE.58.80 .

Stošić, Tatijana, Stošić, Borko D., Moreira, Francisco George Brady, "Exact solution of the Ising model on checkerboard fractals in an external magnetic field" in Physical Review E, 58, no. 1 (1998):80-85,
https://doi.org/10.1103/PhysRevE.58.80 . .

TY  - JOUR
AU  - Stošić, Tatijana
AU  - Stošić, Borko D.
AU  - Fittipaldi, Ivon P.
PY  - 1998
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6230
AB  - We establish an exact expression, in closed form, for the zero-field susceptibility of the Ising model on a Cayley tree of arbitrary generation. We use the known exact recursion relations for the partition function to find the corresponding recursion relations for its field derivatives. These relations are then iterated for the zero-held case to yield the expression for the zero-field susceptibility. In the thermodynamic limit, our formula displays behavior in agreement with previous works. (C) 1998 Elsevier Science B.V. All rights reserved.
T2  - Journal of Magnetism and Magnetic Materials
T1  - Exact zero-field susceptibility of the Ising model on a Cayley tree
VL  - 177
SP  - 185
EP  - 187
DO  - 10.1016/S0304-8853(97)00329-6
ER  - 

@article{
author = "Stošić, Tatijana and Stošić, Borko D. and Fittipaldi, Ivon P.",
year = "1998",
abstract = "We establish an exact expression, in closed form, for the zero-field susceptibility of the Ising model on a Cayley tree of arbitrary generation. We use the known exact recursion relations for the partition function to find the corresponding recursion relations for its field derivatives. These relations are then iterated for the zero-held case to yield the expression for the zero-field susceptibility. In the thermodynamic limit, our formula displays behavior in agreement with previous works. (C) 1998 Elsevier Science B.V. All rights reserved.",
journal = "Journal of Magnetism and Magnetic Materials",
title = "Exact zero-field susceptibility of the Ising model on a Cayley tree",
volume = "177",
pages = "185-187",
doi = "10.1016/S0304-8853(97)00329-6"
}

Stošić, T., Stošić, B. D.,& Fittipaldi, I. P.. (1998). Exact zero-field susceptibility of the Ising model on a Cayley tree. in Journal of Magnetism and Magnetic Materials, 177, 185-187.
https://doi.org/10.1016/S0304-8853(97)00329-6

Stošić T, Stošić BD, Fittipaldi IP. Exact zero-field susceptibility of the Ising model on a Cayley tree. in Journal of Magnetism and Magnetic Materials. 1998;177:185-187.
doi:10.1016/S0304-8853(97)00329-6 .

Stošić, Tatijana, Stošić, Borko D., Fittipaldi, Ivon P., "Exact zero-field susceptibility of the Ising model on a Cayley tree" in Journal of Magnetism and Magnetic Materials, 177 (1998):185-187,
https://doi.org/10.1016/S0304-8853(97)00329-6 . .

TY  - JOUR
AU  - Stošić, Borko D.
AU  - Stošić, Tatijana
AU  - Fittipaldi, Ivon P.
AU  - Veerman, J.J.P.
PY  - 1997
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2071
AB  - We find the analytical expression for the residual entropy of the square Ising model with nearest-neighbour antiferromagnetic coupling J, in the maximum critical field H-c = 4J, in terms of the Fibonacci matrix, which itself represents a self-similar, fractal object. The result coincides with the existing numerical data. By considering regular self-similar fractal objects rather than seemingly random transfer matrices, this approach opens the possibility of finding the corresponding solutions in more complicated cases, such as the antiferromagnets with longer than nearest-neighbour interactions and the three-dimensional antiferromagnets, as well as the possibility of unification of results pertinent to different lattices in two and three dimensions.
T2  - Journal of Physics. A: Mathematical and General
T1  - Residual entropy of the square Ising antiferromagnet in the maximum critical field: The Fibonacci matrix
VL  - 30
IS  - 10
SP  - L331
EP  - L337
DO  - 10.1088/0305-4470/30/10/006
ER  - 

@article{
author = "Stošić, Borko D. and Stošić, Tatijana and Fittipaldi, Ivon P. and Veerman, J.J.P.",
year = "1997",
abstract = "We find the analytical expression for the residual entropy of the square Ising model with nearest-neighbour antiferromagnetic coupling J, in the maximum critical field H-c = 4J, in terms of the Fibonacci matrix, which itself represents a self-similar, fractal object. The result coincides with the existing numerical data. By considering regular self-similar fractal objects rather than seemingly random transfer matrices, this approach opens the possibility of finding the corresponding solutions in more complicated cases, such as the antiferromagnets with longer than nearest-neighbour interactions and the three-dimensional antiferromagnets, as well as the possibility of unification of results pertinent to different lattices in two and three dimensions.",
journal = "Journal of Physics. A: Mathematical and General",
title = "Residual entropy of the square Ising antiferromagnet in the maximum critical field: The Fibonacci matrix",
volume = "30",
number = "10",
pages = "L331-L337",
doi = "10.1088/0305-4470/30/10/006"
}

Stošić, B. D., Stošić, T., Fittipaldi, I. P.,& Veerman, J.J.P.. (1997). Residual entropy of the square Ising antiferromagnet in the maximum critical field: The Fibonacci matrix. in Journal of Physics. A: Mathematical and General, 30(10), L331-L337.
https://doi.org/10.1088/0305-4470/30/10/006

Stošić BD, Stošić T, Fittipaldi IP, Veerman J. Residual entropy of the square Ising antiferromagnet in the maximum critical field: The Fibonacci matrix. in Journal of Physics. A: Mathematical and General. 1997;30(10):L331-L337.
doi:10.1088/0305-4470/30/10/006 .

Stošić, Borko D., Stošić, Tatijana, Fittipaldi, Ivon P., Veerman, J.J.P., "Residual entropy of the square Ising antiferromagnet in the maximum critical field: The Fibonacci matrix" in Journal of Physics. A: Mathematical and General, 30, no. 10 (1997):L331-L337,
https://doi.org/10.1088/0305-4470/30/10/006 . .

TY  - CONF
AU  - Stošić, Borko D.
AU  - Stošić, Tatijana
PY  - 1997
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2058
C3  - Journal of Applied Physics
T1  - Ising model on the Cayley tree: Finite size versus finite field
VL  - 81
IS  - 8
SP  - 4160
EP  - 4160
DO  - 10.1063/1.365052
ER  - 

@conference{
author = "Stošić, Borko D. and Stošić, Tatijana",
year = "1997",
journal = "Journal of Applied Physics",
title = "Ising model on the Cayley tree: Finite size versus finite field",
volume = "81",
number = "8",
pages = "4160-4160",
doi = "10.1063/1.365052"
}

Stošić, B. D.,& Stošić, T.. (1997). Ising model on the Cayley tree: Finite size versus finite field. in Journal of Applied Physics, 81(8), 4160-4160.
https://doi.org/10.1063/1.365052

Stošić BD, Stošić T. Ising model on the Cayley tree: Finite size versus finite field. in Journal of Applied Physics. 1997;81(8):4160-4160.
doi:10.1063/1.365052 .

Stošić, Borko D., Stošić, Tatijana, "Ising model on the Cayley tree: Finite size versus finite field" in Journal of Applied Physics, 81, no. 8 (1997):4160-4160,
https://doi.org/10.1063/1.365052 . .

TY  - JOUR
AU  - Stošić, Tatijana
AU  - Stošić, Borko D.
AU  - Milošević, Sava
AU  - Stanley, Eugene H.
PY  - 1996
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2024
AB  - Owing to extremely slow decay of correlations, the limit H -- GT 0 presents a poor approximation for the Ising model on the Sierpinski gasket. We present evidence of the competitive interplay between finite size scaling and thermodynamic scaling for this model, where both finite size and finite field induce an apparent phase transition, These observations may be relevant for the behavior of porous magnetic materials in real laboratory conditions.
T2  - Physica A: Statistical Mechanics and Its Applications
T1  - Ising model on the Sierpinski gasket: Thermodynamic limit versus infinitesimal field
VL  - 233
IS  - 1-2
SP  - 31
EP  - 38
DO  - 10.1016/S0378-4371(96)00240-3
ER  - 

@article{
author = "Stošić, Tatijana and Stošić, Borko D. and Milošević, Sava and Stanley, Eugene H.",
year = "1996",
abstract = "Owing to extremely slow decay of correlations, the limit H -- GT 0 presents a poor approximation for the Ising model on the Sierpinski gasket. We present evidence of the competitive interplay between finite size scaling and thermodynamic scaling for this model, where both finite size and finite field induce an apparent phase transition, These observations may be relevant for the behavior of porous magnetic materials in real laboratory conditions.",
journal = "Physica A: Statistical Mechanics and Its Applications",
title = "Ising model on the Sierpinski gasket: Thermodynamic limit versus infinitesimal field",
volume = "233",
number = "1-2",
pages = "31-38",
doi = "10.1016/S0378-4371(96)00240-3"
}

Stošić, T., Stošić, B. D., Milošević, S.,& Stanley, E. H.. (1996). Ising model on the Sierpinski gasket: Thermodynamic limit versus infinitesimal field. in Physica A: Statistical Mechanics and Its Applications, 233(1-2), 31-38.
https://doi.org/10.1016/S0378-4371(96)00240-3

Stošić T, Stošić BD, Milošević S, Stanley EH. Ising model on the Sierpinski gasket: Thermodynamic limit versus infinitesimal field. in Physica A: Statistical Mechanics and Its Applications. 1996;233(1-2):31-38.
doi:10.1016/S0378-4371(96)00240-3 .

Stošić, Tatijana, Stošić, Borko D., Milošević, Sava, Stanley, Eugene H., "Ising model on the Sierpinski gasket: Thermodynamic limit versus infinitesimal field" in Physica A: Statistical Mechanics and Its Applications, 233, no. 1-2 (1996):31-38,
https://doi.org/10.1016/S0378-4371(96)00240-3 . .