Physical Sciences and Mathematics Commons^™

On The Existence, Uniqueness And Stability Of Solutions Of Sdes With State-Dependent Variable Exponent, Mustafa Avci

Journal of Stochastic Analysis

We study a time-inhomogeneous nonlinear SDE with drift and diffusion governed by state-dependent variable exponents. This framework generalizes models like the geometric Brownian motion (GBM) and the constant elasticity of variance (CEV), offering flexibility to capture complex dynamics while posing analytical challenges. Using a fixed-point approach, we prove existence and uniqueness, analyze higher-order moments, derive asymptotic estimates, and assess stability. Finally, we illustrate an application where Poisson’s equation admits a probabilistic representation via a timehomogeneous nonlinear SDE with state-dependent variable exponents.

Companion Matrices Associated To Stochastic Matrices, Andreas Boukas, Philip Feinsilver

Journal of Stochastic Analysis

Starting with a stochastic matrix, we study the behavior of powers of an associated companion matrix, which has the same characteristic polynomial as the original matrix. In general the companion matrix will have negative entries while maintaining rowsums equal to 1. We will find the growth rate even if the Ces`aro limit of the sums of the companion matrix diverge. Surprisingly, in the irreducible aperiodic case the powers of the companion matrix will converge even though the norm of the matrix exceeds 1 and it has possibly negative entries.

Z+-Valued Additive Processes In Law With Nonnegative Increments, Nadjib Bouzar

Journal of Stochastic Analysis

The goal of this article is to study in depth the subclass of Z+- valued additive processes in law with nonnegative increments. We establish key distributional properties of these processes and obtain some existence results under a variety of conditions. We show that they form a subclass of the family of inhomogeneous Markov chains with spatial homogeneity. We extend the notion of factoring introduced by Sato (2004, [9]) for Rd-valued additive processes in law to their Z+-valued counterparts with nonnegative increments. We give a sufficient condition for the existence of a factoring for these processes. Lastly, we obtain their representation …

The Colorado River Water Supply Crisis In A Few Graphs: Part 2 Agricultural Water Use In The Lower Basin, Jack Schmidt, Anne Castle, Eric Kuhn, Kathryn Sorensen, Katherine Tara

The Traveling Wilburys of the Colorado River

Reductions in Lower Basin water use during the last four years, including

forecast use in 2026, are similar to the initial targets for Lower Basin shortages

described in the Final Environmental Impact Statement for Post-2026

Operational Guidelines and Strategies for Lake Powell and Lake Mead (FEIS)

and the accompanying Record of Decision (ROD).

6 Lower Basin consumptive

use in 2023, 2024, and 2025, and forecast for 2026 has been the smallest for

the entire 2010-2026 period. These four years of smallest use are between 1.4

and 1.7 million acre feet/year (maf/yr) less than the 7.50 maf/yr amount

generally recognized as …

Chemistry In The City Module, Ji Kim

Open Educational Resources

This project integrates a historical environmental health report from the CUNY Digital History Archive into an online Introductory Chemistry course to connect core chemical concepts with real urban pollution issues. Students analyze perchloroethylene contamination in apartments above dry cleaners, apply concepts such as volatility, vapor pressure, and concentration units, and reflect on chemical principles underlying indoor air pollution.

Chemistry In The City Module, Ji Kim

Open Educational Resources

This project integrates a historical environmental health report from the CUNY Digital History Archive into an online Introductory Chemistry course to connect core chemical concepts with real urban pollution issues. Students analyze perchloroethylene contamination in apartments above dry cleaners, apply concepts such as volatility, vapor pressure, and concentration units, and reflect on chemical principles underlying indoor air pollution.

"Our Heritage From The People", William Lindsey Mcdonald

Writings

A lecture presented to a history seminar at the University of North Alabama in March of 1979. The lecture addresses the geography and geology of North Alabama, removal of indigenous people, cultural influence of settlers, and development of the Tennessee Valley into contemporary settlements.

Motivating Second-Order Differential Equation Models Beyond The Spring–Mass System, Katherine E. Rutherford, John C. Borger

CODEE Journal

Students in introductory differential equations courses often learn to associate specific equation types with familiar physical systems. While this approach supports procedural fluency, it can inhibit transfer learning: students recognize familiar forms rather than construct models from first principles. This paper presents a modeling-first instructional approach designed to help students recognize the shared structure of second-order differential equations across diverse contexts. Students derive governing equations from fundamental physical laws for multiple systems, including an Inductor, Resistor, and Capacitor (LRC) electrical circuit, a simple pendulum, and viscous pipe flow. Through guided comparison, students identify common components such as inertia, damping, restoring …

Butte Priority Soils Operable Unit Draft Final Reclamation Improvement Field Sampling And Investigation Plan: Bres No. 68 – Little Mina-2, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Butte Priority Soils Operable Unit Draft Final Reclamation Improvement Field Sampling And Investigation Plan: Bres No. 75 – National Dump, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Butte Priority Soils Operable Unit Draft Final Reclamation Improvement Field Sampling And Investigation Plan: Bres No. 171 – Blaine Center, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Butte Priority Soils Operable Unit Draft Final Insufficiently Reclaimed Sites Field Sampling And Investigation Plan: Bres No. 1503 – Hornet Addition, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Butte Priority Soils Operable Unit Draft Final Insufficiently Reclaimed Sites Field Sampling And Investigation Plan: Bres No. 105 – Lizzie Shaft, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

A Multiwavelength Study Of A Long-Duration Very-High-Energy Flare From Bl Lacertae With Veritas, Avery Archer, Et Al.

Physics & Astronomy Faculty publications

We report the first observations of a long-duration very-high-energy (VHE; E>100 GeV) flare from BL Lacertae (VER J2202+422), taken with the Very Energetic Radiation Imaging Telescope Array System (VERITAS). On 2022 October 15, the Fermi-Large Area Telescope (LAT) detected elevated GeV activity originating from this blazar. This triggered a multiwavelength campaign, which includes observations from VERITAS, Swift, NuSTAR, and select optical and radio observatories. VERITAS observed the source for a total of ∼9.8 hr between 2022 September 1 and 2022 December 1. An analysis of these data yields a ∼28σ detection of the source. While previously observed VHE …

Commissioning And Performance Characterization Of An Elevator Loading System For The Ucnτ+ Magneto-Gravitational Trap, Alexander Komives, Et Al.

Physics & Astronomy Faculty publications

We report the first commissioning with ultracold neutrons (UCN) of an elevator-based loading system for the UCNτ magneto-gravitational neutron trap at Los Alamos Neutron Science Center. The system replaces the previous trap-door geometry with a moving bin designed to transfer UCN from UCN guide height into the open trap while reducing their kinetic energy through an adiabatic expansion of the accessible volume. UCN cutoff energy scans, direct leakage measurements, and variable bin-hold cycle measurements were used to characterize the incident spectrum and the loading losses. Successive sealing modifications increased the effective bin population lifetime from 26.69 ± 0.62 to 47.64 …

Re: Butte Priority Soils Operable Unit Draft Final Insufficiently Reclaimed Sites Field Sampling And Investigation Plan: Bres No. 46 – Missoula Mine, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Butte Priority Soils Operable Unit Draft Final Insufficiently Reclaimed Sites Field Sampling And Investigation Plan: Bres No 135 – Washoe Sampling Works, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Variability In Nutrient And Carbon Cycling Of Constructed Marshes, Alyssa Leclaire, Jenny Davis, Molly Bost, David De La Garza

School of Earth, Environmental, & Marine Sciences Faculty Publications

Salt marshes provide valuable ecosystem services, including filtering nutrients and trapping sediments from the water column, but are increasingly threatened by sea-level rise and coastal development. Constructed marshes offer a potential pathway to offsetting marsh loss, but the extent to which they can replace the ecosystem services provided by mature natural marshes is not well understood. Using a chronosequence of constructed marshes (1, 21, and 44 years old) and a natural reference marsh (>100y old) in Beaufort, NC, we assessed the development of plant communities, sediment characteristics, and nutrient and carbon cycling over time. We compared aboveground biomass, surface …

Butte Priority Soils Operable Unit Draft Final Reclamation Improvement Field Sampling And Investigation Plan: Bres No. 57 – Little Mina-1, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Butte Priority Soils Operable Unit Draft Final Insufficiently Reclaimed Sites Field Sampling And Investigation Plan: Bres No. 11 – Magna Charta Lessee Dumps, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Butte Priority Soils Operable Unit Draft Final Insufficiently Reclaimed Sites Field Sampling And Investigation Plan: Bres No. 129 – Heaney Dump, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Butte Priority Soils Operable Unit Draft Final Reclamation Improvement Field Sampling And Investigation Plan: Bres No. 160s – Syndicate Pit Dumps, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Butte Priority Soils Operable Unit Draft Final Reclamation Improvement Field Sampling And Investigation Plan: Bres No. 180 – Tullamore Dumps, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Re: Butte Priority Soils Operable Unit Draft Final Insufficiently Reclaimed Sites Field Sampling And Investigation Plan: Bres No. 9 – Clark Street Dump, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Butte Priority Soils Operable Unit Draft Final Insufficiently Reclaimed Sites Field Sampling And Investigation Plan: Bres No. 1503 – Hornet Addition, Mike Mcanulty

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Geographical Pattern Analysis Of Gis Images With Deep Learning And Voronoi Network, Nidaa Kareem, Tawfiq A. Al-Assadi

Journal of Intelligent Informatics, Networking, and Cybersecurity

Localization is not enough for the analysis of spatial patterns; a principled geometric and statistical framework is required. This paper proposes an integrated spatial intelligence system combining deep learning, computational geometry, and spatial statistics, which is a unified and interpretable system. It is based on segmentation localization that accurately localizes the centroid of each object without the disadvantages of the bounding box. These centroids form a natural Voronoi tessellation of regions of spatial influence intrinsic to the data instead of imposing any artificial restrictions. A geometry-based density formulation is used to improve representation, which includes Voronoi cell areas and neighborhood …

Epistemic Resilience In Ai-Driven Innovation, James C. Ryan, Massimiliano Cappuccio, Effrosyni Georgiadou, Alessandro Lanteri

All Works

Artificial intelligence (AI) has become an integral component of innovation infrastructure, facilitating information retrieval, knowledge recombination, and decision support. While these applications accelerate innovation cycles, they simultaneously obscure evidential provenance, compromise output reliability, and diffuse accountability when algorithmic insights fail. To address these vulnerabilities, this paper introduces the concept of epistemic resilience, defined as an organizational and ecosystem capability to preserve, adapt, and restore trustworthy knowledge processes amid technological disruption, uncertainty, and epistemic risk. Synthesizing literature across innovation management, organizational learning, knowledge management, social epistemology, research integrity, and human–AI collaboration, this study conceptualizes AI-driven innovation as a sociotechnical knowledge process …

2026 Report On The State Of Great Salt Lake Social Science, Creed Jones, Avyrlie Smith, Shae Barber, Stacia Ryder, Mufti Nadimul Quamar Ahmed, Georgie Corkery, Jennifer Givens, Anna Mcentire, Carla Trentelman, Jessica Ulrich-Schad, Kirsten Vinyeta, Bryn Watkins

Publications

Great Salt Lake (GSL) faces rapid decline that presents more than just a hydrological risk; it poses an existential social hazard. As water levels decline, ecosystems, economies, cultures, and societies face irreversible harm. Since the lake reached its lowest levels in 2022, this issue has specifically gained increased attention in Utah and beyond. Given both the degree to which human consumption contributes to the problem, and the potential risks that the drying of the lake poses for community health, social science research is a crucial for informing successful water management policies and mitigating impacts. The purpose of this report is …

Readme Template For Geospatial Data, Alyssa Renteria

Library Faculty Research

A readme file provides descriptive information about a dataset, file(s), or software. The goal is to ensure that the files and data can be correctly interpreted by your future self or others when sharing or publishing data, code, or software.

Shadowless In A World Of Shadows: Diminishing The Refraction Of Light Via Nanoconfinement, Vuk Uskoković

Administration and Staff Articles and Research

This paper presents a physicochemical study that merges science and art in the context of exploring the refractive index of water under nanoconfinement. Using a simple and economical experimental approach, it is shown that confinement within the micropores of a zeolitic structure, characterized using electron microscopy and X-ray diffraction, paradoxically reduces the refractive index of water, bringing confined water droplets closer to a shadowless state. Counterintuitively, water under confinement, as indicated by vibrational spectroscopic analyses performed in the transmittance mode in the IR range and reflectance mode in the near-IR range, exhibits greater structural freedom than in its bulk or …