×

zbMATH — the first resource for mathematics

Antonelli, Peter Louis

Compute Distance To:
Author ID: antonelli.peter-l Recent zbMATH articles by "Antonelli, Peter Louis"
Published as: Antonelli, P.; Antonelli, P. L.; Antonelli, Peter; Antonelli, Peter L; Antonelli, Peter L.
Homepage: http://www.math.ualberta.ca/Antonelli_P.html
External Links: MGP · ResearchGate · dblp · GND
Documents Indexed: 150 Publications since 1969, including 11 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

104 Publications have been cited 562 times in 286 Documents Cited by Year
The theory of sprays and Finsler spaces with applications in physics and biology. Zbl 0821.53001
Antonelli, P. L.; Ingarden, R. S.; Matsumoto, Makoto
155
1993
Handbook of Finsler geometry. Vols. 1 and 2. Zbl 1057.53001
Antonelli, Peter L. (ed.)
27
2003
Mathematical essays on growth and the emergence of form. Zbl 0572.00026
Antonelli, Peter L. (ed.)
24
1985
The non-finite homotopy type of some diffeomorphism groups. Zbl 0225.57013
Antonelli, P. L.; Burghelea, D.; Kahn, P. J.
17
1972
Seismic rays as Finsler geodesics. Zbl 1042.53048
Antonelli, Peter L.; Bóna, Andrej; Slawiński, Michael A.
16
2003
Volterra-Hamilton models in the ecology and evolution of colonial organisms. Zbl 0930.92031
Antonelli, P. L.; Bradbury, R. H.
16
1996
KCC theory of a system of second order differential equations. Zbl 1105.53017
Antonelli, P. L.; Bucataru, I.
15
2003
The concordance-homotopy groups of geometric automorphism groups. Zbl 0222.57001
Antonelli, Peter L.; Burghelea, Dan; Kahn, Peter J.
12
1971
The theory of Finslerian Laplacians and applications. Zbl 0903.00044
Antonelli, Peter L. (ed.); Lackey, Bradley C. (ed.)
11
1998
A transient-state analysis of Tyson’s model for the cell division cycle by means of KCC-theory. Zbl 0997.92008
Antonelli, P. L.; Rutz, S. F.; Sabău, V. S.
10
2002
Nonlinear filtering and Riemannian scalar curvature, \({\mathbb{R}}\). Zbl 0634.60038
Antonelli, P. L.; Elliott, R. J.; Seymour, R. M.
9
1987
Nonlinear filtering of myxomatosis based on hormonal control of flea reproduction by the rabbit. Zbl 0636.92011
Antonelli, P. L.; Seymour, R. M.
8
1987
Fundamentals of Finslerian diffusion with applications. Zbl 1105.53018
Antonelli, P. L.; Zastawniak, T. J.
7
2003
Theories and models in symbiogenesis. Zbl 1036.92018
Antonelli, P. L.; Bevilacqua, L.; Rutz, S. F.
7
2003
Gromoll groups, Diff \(S^ n\) and bilinear constructions of exotic spheres. Zbl 0195.53303
Antonelli, P. L.; Burghelea, D.; Kahn, P. J.
7
1970
Fundamentals of Finslerian diffusion with applications. Zbl 1059.58024
Antonelli, P. L.; Zastawniak, T. J.
6
1999
New results on two-dimensional constant sprays with an application to heterochrony. Zbl 1126.92300
Antonelli, Peter; Han, Bin; Modayil, Joseph
6
1999
On 1-form Finsler connections with constant coefficients. Zbl 0770.53013
Antonelli, Peter L.; Shimada, Hideo
6
1991
Differential offensive-defensive games between plants and herbivores. Zbl 0622.92024
Antonelli, P. L.; Skowronski, J. M.
6
1986
Starfish predation of a growing coral reef community. Zbl 0594.92018
Antonelli, P. L.; Kazarinoff, N. D.
6
1985
Volterra-Hamilton production models with discounting: General theory and worked examples. Zbl 1048.90503
Antonelli, P. L.; Bucataru, I.
5
2001
Nonlinear filtering theory for coral/starfish and plant/herbivore interactions. Zbl 0584.92024
Antonelli, P. L.; Elliott, R. J.
5
1986
Nonlinear allometric growth. I: Perfectly cooperative systems. Zbl 0561.92016
Antonelli, Peter L.
5
1983
Non-linear growth mechanics. I. Volterra-Hamilton systems. Zbl 0522.92015
Antonelli, P. L.; Voorhees, B. H.
5
1983
The geometry of random drift. I. Stochastic distance and diffusion. Zbl 0372.60108
Antonelli, Peter L.; Strobeck, Curtis
5
1977
Structure theory for Montgomery-Samelson fiberings between manifolds. I. Zbl 0169.54804
Antonelli, P. L.
5
1969
Adaptive identification of environmental stress for the management of plant growth. Zbl 0653.92019
Antonelli, P. L.; Skowronski, J. M.
4
1988
A model of myxomatosis based on hormonal control of rabbit-flea reproduction. Zbl 0637.92009
Antonelli, P. L.; Seymour, R. M.
4
1988
Entropy production in stochastic Riemannian geometries with applications to chemical ecology. Zbl 0634.60039
Antonelli, P. L.; Seymour, R. M.
4
1987
A study of large-amplitude periodic solutions in a model for starfish predation of coral. Zbl 0632.92025
Antonelli, P. L.; Fuller, K. D.; Kazarinoff, N. D.
4
1987
Non-Euclidean allometry and the growth of forests and corals. Zbl 0594.92019
Antonelli, P. L.
4
1985
Differentiable Montgomery-Samelson fiberings with finite singular sets. Zbl 0187.45101
Antonelli, P. L.
4
1969
The mathematical theory of endosymbiosis. II: Models of the fungal fusion hypothesis. Zbl 1327.92034
Antonelli, P. L.; Rutz, S. F.; Fonseca, K. T.
3
2012
The mathematical theory of endosymbiosis. I. Zbl 1231.53020
Antonelli, Peter L.; Rutz, Solange F.; Hirakawa, Carlos E.
3
2011
Finslerian Volterra-Hamilton systems in Clementsian forest succession. Zbl 1078.37523
Antonelli, P. L.; Rutz, S. F.
3
2005
A geometrical foundation for seismic ray theory based on modern Finsler geometry. Zbl 1040.53087
Antonelli, P. L.; Rutz, S. F.; Slawinski, M. A.
3
2003
The Wagner theory of 2-dimensional constant sprays and its applications in evolutionary biology. Zbl 1058.92032
Antonelli, Peter
3
2003
New results about the geometric invariants in KCC-theory. Zbl 1066.53120
Antonelli, P. L.; Bucătaru, I.
3
2001
On Holland’s frame for Randers space and its applications in physics. Zbl 0985.53018
Antonelli, P. L.; Bucataru, I.
3
2001
Evolution of multiple complementary (secondary) metabolites, their synergism, and their stability in colonial organisms. Zbl 0930.92017
Antonelli, P. L.; Sammarco, Paul W.
3
1999
On the theory of \(\phi\)-Lagrange manifolds with applications in biology and physics. Zbl 0894.53028
Antonelli, P. L.; Hrimiuc, D.
3
1996
Lagrange and Finsler geometry: applications to physics and biology. Proceedings of a conference. Zbl 0833.00033
Antonelli, P. L. (ed.); Miron, R. (ed.)
3
1996
Corals and starfish waves on the Great Barrier Reef: Analytical trophodynamics and 2-patch aggregation methods. Zbl 0838.92026
Antonelli, P.; Auger, P.; Bradbury, R.
3
1995
On \(y\)-Berwald connections and Hutchinson’s ecology of social interactions. Zbl 0804.53031
Antonelli, P. L.
3
1993
Fuzzy differential inclusions as substitutes for stochastic differential equations in population biology. Zbl 0896.92026
Antonelli, Peter L.; Křivan, Vlastimil
3
1992
Allelochemic interactions on Pandora Reef. The Great Barrier Reef: Stabilizing weak chaos in production. Zbl 0925.92127
Antonelli, Peter L.; Sammarco, Paul W.
3
1992
A brief introduction to Volterra-Hamilton theory in ecological modelling. Zbl 0705.92021
Antonelli, P. L.
3
1990
A diffusion-reaction-transport model for large-scale waves in crown-of- thorns starfish outbreaks on the Great Barrier Reef. Zbl 0674.92015
Antonelli, P. L.; Kazarinoff, N. D.; Reichelt, R. E.; Bradbury, R. H.; Moran, P. J.
3
1989
Identification of states and parameters in a model of starfish predation on coral. Zbl 0632.92024
Antonelli, P. L.; Skowronski, J. M.
3
1988
The Zakai forms of the prediction and smoothing equations. Zbl 0621.60051
Antonelli, Peter L.; Elliott, Robert J.
3
1986
The geometry of random genetic drift. VI. A random selection diffusion model. Zbl 0455.60067
Antonelli, Peter L.; Chapin, Jared; Voorhees, B. H.
3
1980
Structure theory for Montgomery-Samelson fiberings between manifolds. II. Zbl 0169.54901
Antonelli, P. L.
3
1969
Gradient-driven dynamics on Finsler manifolds: the Jacobi action-metric theorem and an application in ecology. Zbl 1300.53024
Antonelli, Peter L.; Leandro, Eduardo S. G.; Rutz, Solange F.
2
2014
Finsler connections in anholonomic geometry of a Kropina space. Zbl 0996.53019
Antonelli, P. L.; Bucataru, I.
2
2001
Corals and starfish waves on the great barrier reef: analytical trophodynamics and 2-patch aggregation methods. Zbl 1185.34065
Antonelli, P.; Auger, P.; Bradbury, R.
2
1998
Diffusions on Finsler manifolds. Zbl 0947.58029
Antonelli, P. L.; Zastawniak, T. J.
2
1998
A Finsler geometric model of evolution by symbiosis. Zbl 1126.92315
Antonelli, P. L.
2
1998
A new class of spray-generating Lagrangians. Zbl 0844.53046
Antonelli, P. L.; Hrimiuc, D.
2
1996
The differential geometry of Lagrangians which generate sprays. Zbl 0844.53019
Anastasiei, M.; Antonelli, P. L.
2
1996
Diffusion on the tangent and indicatrix bundles of a Finsler manifold. Zbl 0867.58072
Antonelli, P. L.; Zastawniak, T. J.
2
1995
Density-dependent host/parasite systems of Rothschild type and Finslerian diffusion. Zbl 0823.92017
Antonelli, P. L.; Zastawniak, T. J.
2
1994
Introduction to diffusion on Finsler manifolds. Zbl 0812.53021
Antonelli, P. L.; Zastawniak, T. J.
2
1994
Stochastic calculus on Finsler manifolds and an application in biology. Zbl 0799.60057
Antonelli, P. L.; Zastawniak, T. J.
2
1994
Diffusions on Finsler manifolds. Zbl 0833.58040
Antonelli, P. L.; Zastawniak, T. J.
2
1993
Finsler Volterra-Hamilton systems in ecology. Zbl 0758.53012
Antonelli, P. L.
2
1991
An easy statistical test for Volterra-Hamilton systems with data. Zbl 0734.92026
Antonelli, P. L.
2
1990
Medawar’s growth energy experiment, revisited: along a Brownian path. Zbl 0723.92006
Antonelli, P. L.
2
1990
Filtering the \(n\)-dimensional logistic growth model. Zbl 0711.92016
Antonelli, Peter L.
2
1990
Entropy production in stochastic Riemannian geometries: Jacobi metric observables in chemical ecology. Zbl 0673.92018
Antonelli, P. L.; Seymour, R. M.
2
1989
Nonlinear prediction of crown-of-thorns outbreaks on the great barrier reef. Zbl 0669.60047
Antonelli, P.; Bradbury, R.; Buck, R.; Reichelt, R.; Elliott, R.
2
1988
A curved space forward Cauchy problem for chemical ecology on the great barrier reef. Zbl 0666.92017
Antonelli, P. L.
2
1988
A mathematical model of chemical defense of apparent plants against insects. Zbl 0579.92026
Antonelli, P. L.
2
1985
Nonlinear allometric growth. II: Allelopathic plant communities. Zbl 0561.92017
Antonelli, Peter L.
2
1983
Concordance-homotopy groups and the nonfinite type of some Diff \(_ 0M^ n\). Zbl 0218.57019
Antonelli, P. L.; Burghelea, D.; Kahn, P. J.
2
1971
The nonfinite type of some \(Diff_ 0M^ n\). Zbl 0204.56601
Antonelli, P. L.; Burghelea, D.; Kahn, P. J.
2
1970
On the stable diffeomorphism of homotopy spheres in the stable range, \(n<2p\). Zbl 0185.51402
Antonelli, P. L.
2
1969
Montgomery-Samelson singular fiberings of spheres. Zbl 0179.51802
Antonelli, P. L.
2
1969
Carbon cycles in tree stands from KCC theory: discounted production due to litter decomposition. Zbl 1338.93146
Antonelli, P. L.; Rutz, S. F.; Cantalice, J. R. B.
1
2016
Finslerian diffusions in forest ecology: retrospective and open problems. Zbl 1326.92073
Antonelli, Peter L.; Rutz, Solange F.
1
2014
A coral bleaching model. Zbl 1292.93012
Antonelli, Peter L.; Rutz, Solange F.; Sammarco, Paul W.; Strychar, Kevin B.
1
2014
Carbon flux models in the Mata-Atlântica rain forest of Brazil. Zbl 1205.34047
Antonelli, P. L.; Rutz, S. F.; Fonseca, K. T.
1
2010
Eco-strain in model forests. Zbl 1167.92343
Antonelli, P. L.; Rutz, S. F.
1
2009
Perturbations of constant connection Wagner spaces. Zbl 1149.53014
Antonelli, Peter L; Rutz, Solange F.
1
2007
Theories and models in symbiogenesis: A reply to nature and the introduction of environmental noises. Zbl 1153.37454
Antonelli, P. L.; Rutz, S. F.
1
2005
Computer algebra and two and three dimensional Finsler geometry. Zbl 1026.53040
Antonelli, P. L.; Bucataru, I.; Rutz, S. F.
1
2003
Transient-states analysis of a 2-species dynamical ecological model via KCC-theory. Zbl 0999.92033
Antonelli, P.; Maculan, N.; Portugal, R.; Rutz, S.; Sabau, S.
1
2001
Diffusion, Laplacian and Hodge decomposition on Finsler spaces. Zbl 0927.53026
Antonelli, P. L.; Zastawniak, T. J.
1
1998
Density dependent host/parasite systems of Rothschild type and Finslerian diffusion. Zbl 1002.92555
Antonelli, P. L.; Zastawniak, T. J.
1
1998
Introduction to diffusion on Finsler manifolds. Zbl 0927.53024
Antonelli, P. L.; Zastawniak, T. J.
1
1998
\(\varphi\)-Lagrange Laplacians. Zbl 1069.58501
Antonelli, P. L.; Hrimiuc, D.
1
1997
Noise induced transitions in a stochastic Volterra-Hamilton open system. Zbl 0927.92025
Antonelli, P. L.; Zastawniak, T. J.
1
1997
Applications of Finsler differential geometry to biology, engineering, and physics. Zbl 0853.53056
Antonelli, P. L.
1
1996
\(y\)-Berwald spaces of dimension two and associated heterochronic systems. Zbl 0853.53018
Antonelli, P. L.; Matsumoto, M.
1
1995
Multiple time-scale diffusion models of starfish and coral state changes over the whole Great Barrier Reef. Zbl 0895.92029
Antonelli, P. L.; Bradbury, R. H.; Reichelt, R. E.
1
1993
Bifurcation analysis on a coral-starfish model. Zbl 0721.34038
Antonelli, P. L.; Lin, X.
1
1990
Toxin production in planktonic communities. Zbl 0603.92020
Antonelli, Peter L.
1
1985
Competition and productivity in aquatic plant communities: Experiments and theories. Zbl 0595.92014
Antonelli, P. L.
1
1985
On the mathematical theory of Volterra-Hamilton systems. Zbl 0595.58018
Antonelli, P. L.
1
1985
Autotoxin production in some symbiotical plant communities is unstable. Zbl 0583.92022
Antonelli, P. L.
1
1985
A mathematical model of multiple tannin defense of apparent plants against insects. Zbl 0579.92027
Antonelli, P. L.
1
1985
Carbon cycles in tree stands from KCC theory: discounted production due to litter decomposition. Zbl 1338.93146
Antonelli, P. L.; Rutz, S. F.; Cantalice, J. R. B.
1
2016
Gradient-driven dynamics on Finsler manifolds: the Jacobi action-metric theorem and an application in ecology. Zbl 1300.53024
Antonelli, Peter L.; Leandro, Eduardo S. G.; Rutz, Solange F.
2
2014
Finslerian diffusions in forest ecology: retrospective and open problems. Zbl 1326.92073
Antonelli, Peter L.; Rutz, Solange F.
1
2014
A coral bleaching model. Zbl 1292.93012
Antonelli, Peter L.; Rutz, Solange F.; Sammarco, Paul W.; Strychar, Kevin B.
1
2014
The mathematical theory of endosymbiosis. II: Models of the fungal fusion hypothesis. Zbl 1327.92034
Antonelli, P. L.; Rutz, S. F.; Fonseca, K. T.
3
2012
The mathematical theory of endosymbiosis. I. Zbl 1231.53020
Antonelli, Peter L.; Rutz, Solange F.; Hirakawa, Carlos E.
3
2011
Carbon flux models in the Mata-Atlântica rain forest of Brazil. Zbl 1205.34047
Antonelli, P. L.; Rutz, S. F.; Fonseca, K. T.
1
2010
Eco-strain in model forests. Zbl 1167.92343
Antonelli, P. L.; Rutz, S. F.
1
2009
Perturbations of constant connection Wagner spaces. Zbl 1149.53014
Antonelli, Peter L; Rutz, Solange F.
1
2007
Finslerian Volterra-Hamilton systems in Clementsian forest succession. Zbl 1078.37523
Antonelli, P. L.; Rutz, S. F.
3
2005
Theories and models in symbiogenesis: A reply to nature and the introduction of environmental noises. Zbl 1153.37454
Antonelli, P. L.; Rutz, S. F.
1
2005
Handbook of Finsler geometry. Vols. 1 and 2. Zbl 1057.53001
Antonelli, Peter L. (ed.)
27
2003
Seismic rays as Finsler geodesics. Zbl 1042.53048
Antonelli, Peter L.; Bóna, Andrej; Slawiński, Michael A.
16
2003
KCC theory of a system of second order differential equations. Zbl 1105.53017
Antonelli, P. L.; Bucataru, I.
15
2003
Fundamentals of Finslerian diffusion with applications. Zbl 1105.53018
Antonelli, P. L.; Zastawniak, T. J.
7
2003
Theories and models in symbiogenesis. Zbl 1036.92018
Antonelli, P. L.; Bevilacqua, L.; Rutz, S. F.
7
2003
A geometrical foundation for seismic ray theory based on modern Finsler geometry. Zbl 1040.53087
Antonelli, P. L.; Rutz, S. F.; Slawinski, M. A.
3
2003
The Wagner theory of 2-dimensional constant sprays and its applications in evolutionary biology. Zbl 1058.92032
Antonelli, Peter
3
2003
Computer algebra and two and three dimensional Finsler geometry. Zbl 1026.53040
Antonelli, P. L.; Bucataru, I.; Rutz, S. F.
1
2003
A transient-state analysis of Tyson’s model for the cell division cycle by means of KCC-theory. Zbl 0997.92008
Antonelli, P. L.; Rutz, S. F.; Sabău, V. S.
10
2002
Volterra-Hamilton production models with discounting: General theory and worked examples. Zbl 1048.90503
Antonelli, P. L.; Bucataru, I.
5
2001
New results about the geometric invariants in KCC-theory. Zbl 1066.53120
Antonelli, P. L.; Bucătaru, I.
3
2001
On Holland’s frame for Randers space and its applications in physics. Zbl 0985.53018
Antonelli, P. L.; Bucataru, I.
3
2001
Finsler connections in anholonomic geometry of a Kropina space. Zbl 0996.53019
Antonelli, P. L.; Bucataru, I.
2
2001
Transient-states analysis of a 2-species dynamical ecological model via KCC-theory. Zbl 0999.92033
Antonelli, P.; Maculan, N.; Portugal, R.; Rutz, S.; Sabau, S.
1
2001
Fundamentals of Finslerian diffusion with applications. Zbl 1059.58024
Antonelli, P. L.; Zastawniak, T. J.
6
1999
New results on two-dimensional constant sprays with an application to heterochrony. Zbl 1126.92300
Antonelli, Peter; Han, Bin; Modayil, Joseph
6
1999
Evolution of multiple complementary (secondary) metabolites, their synergism, and their stability in colonial organisms. Zbl 0930.92017
Antonelli, P. L.; Sammarco, Paul W.
3
1999
The theory of Finslerian Laplacians and applications. Zbl 0903.00044
Antonelli, Peter L. (ed.); Lackey, Bradley C. (ed.)
11
1998
Corals and starfish waves on the great barrier reef: analytical trophodynamics and 2-patch aggregation methods. Zbl 1185.34065
Antonelli, P.; Auger, P.; Bradbury, R.
2
1998
Diffusions on Finsler manifolds. Zbl 0947.58029
Antonelli, P. L.; Zastawniak, T. J.
2
1998
A Finsler geometric model of evolution by symbiosis. Zbl 1126.92315
Antonelli, P. L.
2
1998
Diffusion, Laplacian and Hodge decomposition on Finsler spaces. Zbl 0927.53026
Antonelli, P. L.; Zastawniak, T. J.
1
1998
Density dependent host/parasite systems of Rothschild type and Finslerian diffusion. Zbl 1002.92555
Antonelli, P. L.; Zastawniak, T. J.
1
1998
Introduction to diffusion on Finsler manifolds. Zbl 0927.53024
Antonelli, P. L.; Zastawniak, T. J.
1
1998
\(\varphi\)-Lagrange Laplacians. Zbl 1069.58501
Antonelli, P. L.; Hrimiuc, D.
1
1997
Noise induced transitions in a stochastic Volterra-Hamilton open system. Zbl 0927.92025
Antonelli, P. L.; Zastawniak, T. J.
1
1997
Volterra-Hamilton models in the ecology and evolution of colonial organisms. Zbl 0930.92031
Antonelli, P. L.; Bradbury, R. H.
16
1996
On the theory of \(\phi\)-Lagrange manifolds with applications in biology and physics. Zbl 0894.53028
Antonelli, P. L.; Hrimiuc, D.
3
1996
Lagrange and Finsler geometry: applications to physics and biology. Proceedings of a conference. Zbl 0833.00033
Antonelli, P. L. (ed.); Miron, R. (ed.)
3
1996
A new class of spray-generating Lagrangians. Zbl 0844.53046
Antonelli, P. L.; Hrimiuc, D.
2
1996
The differential geometry of Lagrangians which generate sprays. Zbl 0844.53019
Anastasiei, M.; Antonelli, P. L.
2
1996
Applications of Finsler differential geometry to biology, engineering, and physics. Zbl 0853.53056
Antonelli, P. L.
1
1996
Corals and starfish waves on the Great Barrier Reef: Analytical trophodynamics and 2-patch aggregation methods. Zbl 0838.92026
Antonelli, P.; Auger, P.; Bradbury, R.
3
1995
Diffusion on the tangent and indicatrix bundles of a Finsler manifold. Zbl 0867.58072
Antonelli, P. L.; Zastawniak, T. J.
2
1995
\(y\)-Berwald spaces of dimension two and associated heterochronic systems. Zbl 0853.53018
Antonelli, P. L.; Matsumoto, M.
1
1995
Density-dependent host/parasite systems of Rothschild type and Finslerian diffusion. Zbl 0823.92017
Antonelli, P. L.; Zastawniak, T. J.
2
1994
Introduction to diffusion on Finsler manifolds. Zbl 0812.53021
Antonelli, P. L.; Zastawniak, T. J.
2
1994
Stochastic calculus on Finsler manifolds and an application in biology. Zbl 0799.60057
Antonelli, P. L.; Zastawniak, T. J.
2
1994
The theory of sprays and Finsler spaces with applications in physics and biology. Zbl 0821.53001
Antonelli, P. L.; Ingarden, R. S.; Matsumoto, Makoto
155
1993
On \(y\)-Berwald connections and Hutchinson’s ecology of social interactions. Zbl 0804.53031
Antonelli, P. L.
3
1993
Diffusions on Finsler manifolds. Zbl 0833.58040
Antonelli, P. L.; Zastawniak, T. J.
2
1993
Multiple time-scale diffusion models of starfish and coral state changes over the whole Great Barrier Reef. Zbl 0895.92029
Antonelli, P. L.; Bradbury, R. H.; Reichelt, R. E.
1
1993
Fuzzy differential inclusions as substitutes for stochastic differential equations in population biology. Zbl 0896.92026
Antonelli, Peter L.; Křivan, Vlastimil
3
1992
Allelochemic interactions on Pandora Reef. The Great Barrier Reef: Stabilizing weak chaos in production. Zbl 0925.92127
Antonelli, Peter L.; Sammarco, Paul W.
3
1992
On 1-form Finsler connections with constant coefficients. Zbl 0770.53013
Antonelli, Peter L.; Shimada, Hideo
6
1991
Finsler Volterra-Hamilton systems in ecology. Zbl 0758.53012
Antonelli, P. L.
2
1991
A brief introduction to Volterra-Hamilton theory in ecological modelling. Zbl 0705.92021
Antonelli, P. L.
3
1990
An easy statistical test for Volterra-Hamilton systems with data. Zbl 0734.92026
Antonelli, P. L.
2
1990
Medawar’s growth energy experiment, revisited: along a Brownian path. Zbl 0723.92006
Antonelli, P. L.
2
1990
Filtering the \(n\)-dimensional logistic growth model. Zbl 0711.92016
Antonelli, Peter L.
2
1990
Bifurcation analysis on a coral-starfish model. Zbl 0721.34038
Antonelli, P. L.; Lin, X.
1
1990
A diffusion-reaction-transport model for large-scale waves in crown-of- thorns starfish outbreaks on the Great Barrier Reef. Zbl 0674.92015
Antonelli, P. L.; Kazarinoff, N. D.; Reichelt, R. E.; Bradbury, R. H.; Moran, P. J.
3
1989
Entropy production in stochastic Riemannian geometries: Jacobi metric observables in chemical ecology. Zbl 0673.92018
Antonelli, P. L.; Seymour, R. M.
2
1989
Adaptive identification of environmental stress for the management of plant growth. Zbl 0653.92019
Antonelli, P. L.; Skowronski, J. M.
4
1988
A model of myxomatosis based on hormonal control of rabbit-flea reproduction. Zbl 0637.92009
Antonelli, P. L.; Seymour, R. M.
4
1988
Identification of states and parameters in a model of starfish predation on coral. Zbl 0632.92024
Antonelli, P. L.; Skowronski, J. M.
3
1988
Nonlinear prediction of crown-of-thorns outbreaks on the great barrier reef. Zbl 0669.60047
Antonelli, P.; Bradbury, R.; Buck, R.; Reichelt, R.; Elliott, R.
2
1988
A curved space forward Cauchy problem for chemical ecology on the great barrier reef. Zbl 0666.92017
Antonelli, P. L.
2
1988
Nonlinear filtering and Riemannian scalar curvature, \({\mathbb{R}}\). Zbl 0634.60038
Antonelli, P. L.; Elliott, R. J.; Seymour, R. M.
9
1987
Nonlinear filtering of myxomatosis based on hormonal control of flea reproduction by the rabbit. Zbl 0636.92011
Antonelli, P. L.; Seymour, R. M.
8
1987
Entropy production in stochastic Riemannian geometries with applications to chemical ecology. Zbl 0634.60039
Antonelli, P. L.; Seymour, R. M.
4
1987
A study of large-amplitude periodic solutions in a model for starfish predation of coral. Zbl 0632.92025
Antonelli, P. L.; Fuller, K. D.; Kazarinoff, N. D.
4
1987
Differential offensive-defensive games between plants and herbivores. Zbl 0622.92024
Antonelli, P. L.; Skowronski, J. M.
6
1986
Nonlinear filtering theory for coral/starfish and plant/herbivore interactions. Zbl 0584.92024
Antonelli, P. L.; Elliott, R. J.
5
1986
The Zakai forms of the prediction and smoothing equations. Zbl 0621.60051
Antonelli, Peter L.; Elliott, Robert J.
3
1986
Mathematical essays on growth and the emergence of form. Zbl 0572.00026
Antonelli, Peter L. (ed.)
24
1985
Starfish predation of a growing coral reef community. Zbl 0594.92018
Antonelli, P. L.; Kazarinoff, N. D.
6
1985
Non-Euclidean allometry and the growth of forests and corals. Zbl 0594.92019
Antonelli, P. L.
4
1985
A mathematical model of chemical defense of apparent plants against insects. Zbl 0579.92026
Antonelli, P. L.
2
1985
Toxin production in planktonic communities. Zbl 0603.92020
Antonelli, Peter L.
1
1985
Competition and productivity in aquatic plant communities: Experiments and theories. Zbl 0595.92014
Antonelli, P. L.
1
1985
On the mathematical theory of Volterra-Hamilton systems. Zbl 0595.58018
Antonelli, P. L.
1
1985
Autotoxin production in some symbiotical plant communities is unstable. Zbl 0583.92022
Antonelli, P. L.
1
1985
A mathematical model of multiple tannin defense of apparent plants against insects. Zbl 0579.92027
Antonelli, P. L.
1
1985
Nonlinear allometric growth. I: Perfectly cooperative systems. Zbl 0561.92016
Antonelli, Peter L.
5
1983
Non-linear growth mechanics. I. Volterra-Hamilton systems. Zbl 0522.92015
Antonelli, P. L.; Voorhees, B. H.
5
1983
Nonlinear allometric growth. II: Allelopathic plant communities. Zbl 0561.92017
Antonelli, Peter L.
2
1983
The geometry of random genetic drift. VI. A random selection diffusion model. Zbl 0455.60067
Antonelli, Peter L.; Chapin, Jared; Voorhees, B. H.
3
1980
The geometry of random drift V. Axiomatic derivation of the WFK diffusion from a variational principle. Zbl 0406.60073
Antonelli, Peter L.
1
1979
An asymptotic formula for the transition density of random genetic drift. Zbl 0385.60067
Antonelli, Peter L.
1
1978
The geometry of random drift. I. Stochastic distance and diffusion. Zbl 0372.60108
Antonelli, Peter L.; Strobeck, Curtis
5
1977
On MS-fiberings of manifolds with finite singular sets. Zbl 0311.55014
Antonelli, P.; Varadarajan, K.
1
1975
The non-finite homotopy type of some diffeomorphism groups. Zbl 0225.57013
Antonelli, P. L.; Burghelea, D.; Kahn, P. J.
17
1972
On the h-enclosability of spheres. Zbl 0241.57013
Antonelli, P. L.
1
1972
The concordance-homotopy groups of geometric automorphism groups. Zbl 0222.57001
Antonelli, Peter L.; Burghelea, Dan; Kahn, Peter J.
12
1971
Concordance-homotopy groups and the nonfinite type of some Diff \(_ 0M^ n\). Zbl 0218.57019
Antonelli, P. L.; Burghelea, D.; Kahn, P. J.
2
1971
Gromoll groups, Diff \(S^ n\) and bilinear constructions of exotic spheres. Zbl 0195.53303
Antonelli, P. L.; Burghelea, D.; Kahn, P. J.
7
1970
The nonfinite type of some \(Diff_ 0M^ n\). Zbl 0204.56601
Antonelli, P. L.; Burghelea, D.; Kahn, P. J.
2
1970
Structure theory for Montgomery-Samelson fiberings between manifolds. I. Zbl 0169.54804
Antonelli, P. L.
5
1969
...and 4 more Documents
all top 5

Cited by 302 Authors

40 Antonelli, Peter Louis
12 Yajima, Takahiro
10 Rutz, Solange F.
8 Nagahama, Hiroyuki
8 Sabau, Sorin Vasile
8 Tayebi, Akbar
7 Bucataru, Ioan
7 Qiu, Chunhui
6 Deng, Shaoqiang
5 Peyghan, Esmaeil
5 Salimi Moghaddam, Hamid Reza
5 Schultz, Reinhard E.
5 Zhong, Tongde
4 Burghelea, Dan
4 Elliott, Robert James
4 Kwasik, Sławomir
4 Minguzzi, Ettore
4 Miron, Radu
4 Mo, Xiaohuan
4 Razavi, Asadollah
4 Tiwari, Bankteshwar
4 Yamasaki, Kazuhito
3 Bradbury, Roger H.
3 Caponio, Erasmo
3 Chen, Zhiqi
3 Cheng, Xinyue
3 Elgendi, Salah Gomaa
3 Gupta, Manish Kumar
3 Kaur, Kirandeep
3 Li, Jinling
3 Matsumoto, Makoto
3 Munteanu, Gheorghe
3 Nicola, Ileana Rodica
3 Pandey, Paras Nath
3 Pişcoran, Laurian-Ioan
3 Rafie-Rad, Mehdi
3 Sammarco, Paul W.
3 Seymour, Robert M.
3 Shanker, Gauree
3 Shen, Zhongmin
3 Slawinski, Michael A.
3 Vincze, Csaba
3 Yadav, C. K.
3 Zastawniak, T. J.
2 Abolghasem, Hossein
2 Afanas’eva, Elena Sergeevna
2 Aldea, Nicoleta
2 Balan, Vladimir
2 Bóna, Andrej
2 Crâşmăreanu, Mircea
2 Farrell, F. Thomas
2 Fonseca, K. T.
2 Gupta, Anil Kumar
2 Gupta, Milan K.
2 Harko, Tiberiu
2 Hou, Zixin
2 Hrimiuc, Dragoş
2 Hu, Zhiguang
2 Kampalappa, Narasimhamurthy Senajji
2 Kendall, Wilfrid S.
2 Lashof, Richard K.
2 Latifi, Dariush
2 Li, Hongjun
2 Li, Tingting
2 Liang, Ke
2 Mazzucato, Anna L.
2 Muñoz Masqué, Jaime
2 Nankali, Ali
2 Pintea, Cornel
2 Plotnikov, Andreĭ Viktorovich
2 Prajapati, Ghanashyam Kr.
2 Rachele, Lizabeth V.
2 Razgordani, Masoome
2 Reichelt, R. E.
2 Rezaei, Bahman
2 Rosado María, Eugenia
2 Shimada, Hideo
2 Shukla, Suresh K.
2 Skowronski, Jaislaw M.
2 Stancarone, Giuseppe
2 Stavrinos, Panayiotis C.
2 Strychar, Kevin B.
2 Suri, Ali
2 Tamássy, Lajos
2 Udriste, Constantin N.
2 Vacaru, Sergiu Ion
2 Voicu, Nicoleta
2 Xia, Qiaoling
2 Xiao, Jinxiu
2 Yin, Li
2 Yoshikawa, Ryozo
2 Youssef, Nabil Labib
2 Zhang, Xiaoling
2 Zhong, Chunping
2 Zhu, Weixia
1 Abazari, Nemat
1 Aghasi, Mansour
1 Ahangari, Fatemeh
1 Ahlip, Rehez
1 Akansha, S.
...and 202 more Authors
all top 5

Cited in 118 Serials

25 Nonlinear Analysis. Real World Applications
19 Mathematical and Computer Modelling
17 Differential Geometry and its Applications
14 International Journal of Geometric Methods in Modern Physics
12 Reports on Mathematical Physics
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Journal of Geometry and Physics
7 Transactions of the American Mathematical Society
7 Open Systems & Information Dynamics
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Proceedings of the American Mathematical Society
4 Stochastic Analysis and Applications
4 Journal of Dynamical Systems and Geometric Theories
3 International Journal of Theoretical Physics
3 Advances in Mathematics
3 Geometriae Dedicata
3 The Journal of Geometric Analysis
3 Indagationes Mathematicae. New Series
3 DGDS. Differential Geometry – Dynamical Systems
3 Science China. Mathematics
2 Bulletin of the Australian Mathematical Society
2 Computer Physics Communications
2 Israel Journal of Mathematics
2 Lithuanian Mathematical Journal
2 Ukrainian Mathematical Journal
2 Annales de l’Institut Fourier
2 Duke Mathematical Journal
2 International Journal of Mathematics and Mathematical Sciences
2 Inventiones Mathematicae
2 Mathematische Annalen
2 Mathematische Zeitschrift
2 Monatshefte für Mathematik
2 Topology and its Applications
2 Advances in Applied Mathematics
2 Chinese Annals of Mathematics. Series B
2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
2 Linear Algebra and its Applications
2 Journal of Mathematical Sciences (New York)
2 Turkish Journal of Mathematics
2 Documenta Mathematica
2 Geometry & Topology
2 Journal of Nonlinear Mathematical Physics
2 Bulletin of the American Mathematical Society
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Nonlinear Analysis. Theory, Methods & Applications
2 European Journal of Mathematics
1 Modern Physics Letters A
1 Classical and Quantum Gravity
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 General Relativity and Gravitation
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Mathematical Biosciences
1 Nuclear Physics. B
1 Physics Letters. A
1 Physics Letters. B
1 Wave Motion
1 Chaos, Solitons and Fractals
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin de la Société Mathématique de France
1 Journal of Optimization Theory and Applications
1 Journal of Soviet Mathematics
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
1 Osaka Journal of Mathematics
1 Results in Mathematics
1 Tensor. New Series
1 Theoretical Population Biology
1 Bulletin of the Korean Mathematical Society
1 Acta Applicandae Mathematicae
1 Annals of Global Analysis and Geometry
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Acta Mathematicae Applicatae Sinica. English Series
1 Facta Universitatis. Series Mathematics and Informatics
1 Science in China. Series A
1 International Journal of Mathematics
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Applied Mathematics. Series B (English Edition)
1 Advances in Applied Clifford Algebras
1 Izvestiya: Mathematics
1 Mathematical Problems in Engineering
1 Balkan Journal of Geometry and its Applications (BJGA)
1 Mathematics and Mechanics of Solids
1 Honam Mathematical Journal
1 Mathematical Physics, Analysis and Geometry
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Annals of Mathematics. Second Series
1 Acta Mathematica Sinica. English Series
1 Communications in Contemporary Mathematics
1 Applied Sciences
1 Advances in Geometry
1 Discrete and Continuous Dynamical Systems. Series B
1 Entropy
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Mediterranean Journal of Mathematics
1 Bulletin de la Société Mathématique de France. Supplément. Mémoires
1 Applications and Applied Mathematics
...and 18 more Serials
all top 5

Cited in 40 Fields

184 Differential geometry (53-XX)
56 Global analysis, analysis on manifolds (58-XX)
44 Biology and other natural sciences (92-XX)
35 Ordinary differential equations (34-XX)
31 Manifolds and cell complexes (57-XX)
22 Dynamical systems and ergodic theory (37-XX)
17 Probability theory and stochastic processes (60-XX)
16 Algebraic topology (55-XX)
16 Relativity and gravitational theory (83-XX)
14 Topological groups, Lie groups (22-XX)
11 Mechanics of particles and systems (70-XX)
8 Several complex variables and analytic spaces (32-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Mechanics of deformable solids (74-XX)
7 Quantum theory (81-XX)
6 Geophysics (86-XX)
5 Partial differential equations (35-XX)
5 Statistics (62-XX)
5 Systems theory; control (93-XX)
4 Nonassociative rings and algebras (17-XX)
3 Optics, electromagnetic theory (78-XX)
3 Operations research, mathematical programming (90-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Algebraic geometry (14-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Real functions (26-XX)
2 Convex and discrete geometry (52-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Group theory and generalizations (20-XX)
1 Functional analysis (46-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Computer science (68-XX)
1 Fluid mechanics (76-XX)
1 Statistical mechanics, structure of matter (82-XX)

Citations by Year