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A theory of flame propagation in curved channels is developed within the framework of the on-shell description of premixed flames. Employing the Green function appropriate to the given channel geometry, an implicit integral representation…

Fluid Dynamics · Physics 2009-10-13 Hazem El-Rabii , Guy Joulin , Kirill A. Kazakov

Amongst the numerous models introduced with SOC, the Forest Fire Model (FFM) is particularly attractive for its close relationship to stochastic spreading, which is central to the study of systems as diverse as epidemics, rumours, or…

Statistical Mechanics · Physics 2020-05-14 Lorenzo Palmieri , Henrik Jeldtoft Jensen

This paper surveys different publicly available neural network models used for detecting wildfires using regular visible-range cameras which are placed on hilltops or forest lookout towers. The neural network models are pre-trained on…

Computer Vision and Pattern Recognition · Computer Science 2023-06-22 Ziliang Hong , Emadeldeen Hamdan , Yifei Zhao , Tianxiao Ye , Hongyi Pan , A. Enis Cetin

Accurate prediction of wildfire spread is crucial for effective risk management, emergency response, and strategic resource allocation. In this study, we present a deep learning (DL)-based framework for forecasting the final extent of…

Machine Learning · Computer Science 2026-04-10 Nikolaos Anastasiou , Spyros Kondylatos , Ioannis Papoutsis

Understanding forest fire spread in any region of Canada is critical to promoting forest health, and protecting human life and infrastructure. Quantifying fire spread from noisy images, where regions of a fire are separated by change-point…

Methodology · Statistics 2024-05-08 John R. J. Thompson , W. John Braun

Wildfires are uncontrolled fires in the environment that can be caused by humans or nature. In 2020 alone, wildfires in California have burned 4.2 million acres, damaged 10,500 buildings or structures, and killed more than 31 people,…

Computer Vision and Pattern Recognition · Computer Science 2021-09-14 Samarth Shah

Over the past couple of decades, the number of wildfires and area of land burned around the world has been steadily increasing, partly due to climatic changes and global warming. Therefore, there is a high probability that more people will…

We present results on a stochastic forest fire model, where the influence of the neighbour trees is treated in a more realistic way than usual and the definition of neighbourhood can be tuned by an additional parameter. This model exhibits…

Cellular Automata and Lattice Gases · Physics 2015-05-13 Klaus Lichtenegger , Wilhelm Schappacher

Real world complex networks are scale free and possess meso-scale properties like core-periphery and community structure. We study evolution of the core over time in real world networks. This paper proposes evolving models for both…

Social and Information Networks · Computer Science 2015-12-01 Akrati Saxena , S. R. S. Iyengar

In this paper, we divide the globe into a hexagonal grid and we extracted time series of daily fire counts from each cell to estimate and analyze worldwide fire season severity (FSS), here defined as the accumulated fire detections in a…

We study a model for the destruction of a random network by fire. Suppose that we are given a multigraph of minimum degree at least 2 having real-valued edge-lengths. We pick a uniform point from along the length and set it alight; the…

Probability · Mathematics 2026-01-14 Christina Goldschmidt , Eleonora Kreačić

In a recent paper, we have introduced a new model to describe front propagation in bushfires. This model describes temperature diffusion in view of an ignition process induced by an interaction kernel, the effect of the environmental wind…

Analysis of PDEs · Mathematics 2024-02-27 Serena Dipierro , Enrico Valdinoci , Glen Wheeler , Valentina-Mira Wheeler

Predicting future states in uncertain environments, such as wildfire spread, medical diagnosis, or autonomous driving, requires models that can consider multiple plausible outcomes. While diffusion models can effectively learn such…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Sebastian Gerard , Josephine Sullivan

The need to carry out analytical studies of wireless systems often motivates the usage of simplified models which, despite their tractability, can easily lead to an overestimation of the achievable performance. In the case of dense small…

Information Theory · Computer Science 2015-06-08 Carlo Galiotto , Nuno K. Pratas , Nicola Marchetti , Linda Doyle

We present a general model for the growth of weighted networks in which the structural growth is coupled with the edges' weight dynamical evolution. The model is based on a simple weight-driven dynamics and a weights' reinforcement…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Alessandro Vespignani

We consider the propagation of tension along specific filament of a semiflexible filament network in response to the application of a point force using a combination of numerical simulations and analytic theory. We find the distribution of…

Soft Condensed Matter · Physics 2020-06-30 Maximilian J. Grill , Jonathan Kernes , Valentin M. Slepukhin , Wolfgang A. Wall , Alex J. Levine

Accurate spatiotemporal modeling of conditions leading to moderate and large wildfires provides better understanding of mechanisms driving fire-prone ecosystems and improves risk management. We here develop a joint model for the occurrence…

Methodology · Statistics 2021-07-15 Jonathan Koh , François Pimont , Jean-Luc Dupuy , Thomas Opitz

Over the past decades, the increase in both frequency and intensity of large-scale wildfires due to climate change has emerged as a significant natural threat. The pressing need to design resilient landscapes capable of withstanding such…

Percolation on two-dimensional small-world networks has been proposed as a model for the spread of plant diseases. In this paper we give an analytic solution of this model using a combination of generating function methods and high-order…

Statistical Mechanics · Physics 2009-11-07 M. E. J. Newman , I. Jensen , R. M. Ziff

The severity of wildfires can be mitigated adopting preventive measures like the construction of firebreaks that are strips of land from which the vegetation is completely removed. In this paper, we model the problem of wildfire containment…

Discrete Mathematics · Computer Science 2022-04-13 Marc Demange , Alessia Di Fonso , Gabriele Di Stefano , Pierpaolo Vittorini