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Chapter 1 introduces the book’s central research question and rationale. It highlights the growing prevalence of Islamist civil wars. The chapter underscores the urgent need to understand how these conflicts can be effectively ended and resolved, pointing to the lack of systematic scholarly attention to this issue. The book examines whether – and why – Islamist civil wars are more difficult to end than other conflicts, and to what extent they can be resolved. Developing a bargaining explanation, we suggest that Islamist civil wars are especially intractable because they are embedded in a particular strategic environment, which increases uncertainties about the parties’ resolve and capabilities. Understanding what makes Islamist civil wars so challenging is necessary to identify what can be done to resolve and end them. The chapter outlines the book’s main arguments and findings, including the empirical focus and cases to be explored, setting the stage for the chapters that follow.
In this chapter, we examine key empirical implications of our theoretical argument by analyzing global patterns in the termination and recurrence of Islamist civil wars compared with other civil wars. Drawing on novel data that captures the religious dimensions of armed conflict, we assess whether civil wars involving Islamist claims are less likely to end and more likely to restart. The analysis reveals strong evidence that Islamist conflicts are indeed less likely to terminate compared with other civil wars, and when they do end, they are significantly more likely to recur – either through the resurgence of the same group or the emergence of new ones. Importantly, our findings further suggest that the degree of internationalization matters – specifically, the presence of foreign fighters on the rebel side and secondary support on the government side can make these conflicts more intractable. In our analysis, we rule out some competing explanations for the religious dimension more broadly, and we also nuance the claim that Islamists are merely the new revolutionaries.
Breast cancer represents one of the main causes of mortality among women, and the consumption of bioactive compounds seems to contribute to improving the prognosis of the disease. However, the relationship between polyphenol intake and breast cancer has not yet been fully elucidated. The objective of this study was to investigate the association between polyphenol intake and breast cancer mortality, survival, and recurrence. This is an observational study with a prospective sample of 95 women, followed up for an average of 11.5 years. Intake of polyphenols was assessed using a Food Frequency Questionnaire (FFQ) and estimated using the Phenol-Explorer® database. Cox proportional hazard models were used to investigate the associations. Survival curves were calculated using Kaplan-Meier analysis. An inverse association was found between the intake of total polyphenols, phenolic acids, and lignans, and the risk of breast cancer-specific mortality (HR= 0.20, 95% CI [0.05-0.80]; HR= 0.09, 95% CI [0.01-0.50]; HR= 0.15, 95% CI [0.04-0.63], respectively). Phenolic acids also showed an inverse association with breast cancer recurrence (HR= 0.35, 95% CI [0.13-0.98]) and all-cause mortality (HR= 0.23, 95% CI [0.07 - 0.77]). Coffee was the major contributor to total polyphenol, phenolic acid, and lignan intake. Total polyphenol intake was associated with longer survival when breast cancer mortality was considered (p=0.048). In conclusion, higher intake of polyphenols was associated with lower breast cancer-specific mortality. In addition, phenolic acids were associated with lower all-cause mortality and breast cancer recurrence. Further studies are needed to confirm these associations.
Islamist civil wars pose a major challenge to peace and security around the world. Written by two leading scholars of conflict resolution, Jihadist Peace: Ending Islamist Civil Wars offers a groundbreaking analysis of why these conflicts are among the most difficult to end, and what can be done about it. The book makes a theoretical contribution by explaining their intractability, arguing that the transnational ideological framing of Islamist civil wars increases uncertainty about the capabilities and resolve of the warring parties. Drawing on conflict resolution theory, rigorous statistical analysis, and detailed case studies of Afghanistan, Mauritania, Mali, and Syria, the authors explore the conditions under which these wars can both come to an end and be resolved. They argue that the local dimension is key: by disentangling both rebel and government actors from broader networks, Jihadist Peace charts a path toward resolving some of the world's most intractable civil wars.
Post-radiotherapy tissue changes in laryngeal cancer can hinder accurate imaging assessment of recurrence and tumour extent. We compared pre-operative magnetic resonance imaging staging performance in recurrent laryngeal cancer versus primary laryngeal cancer.
Methods.
Retrospective single-centre study of 51 total laryngectomy patients (2012–2021). Magnetic resonance imaging assessments of invasion/extension were compared with histopathology (reference standard) to compute accuracy, sensitivity and specificity.
Results.
Magnetic resonance imaging accuracy differed between groups. In the recurrent laryngeal cancer group, accuracy was highest for lymph node metastasis (88.5 per cent) and extra-laryngeal spread (76.9 per cent), whereas it was lowest for cartilage invasion (53.9 per cent) and paraglottic involvement (57.8 per cent). In the primary laryngeal cancer group, magnetic resonance imaging performed best for subglottic and supraglottic extension (76.0 per cent each) and cartilage invasion (72.0 per cent), but showed limited accuracy for extra-laryngeal spread (36.0 per cent) and lymph node metastasis (60.0 per cent).
Conclusion.
Magnetic resonance imaging tended to overestimate tumour extent in both groups. It was sensitive overall, but less specific in certain subsites, particularly the paraglottic region. Negative nodal findings may be reassuring, although conclusions regarding nodal status remain limited.
Impaired social functioning substantially affects the quality of life of patients with schizophrenia; however, it remains unclear whether the factors associated with social functioning differ according to relapse frequency. This study aimed to examine the differences in these factors among Japanese outpatients with schizophrenia, stratified by relapse frequency.
Methods
This nationwide cross-sectional study, the Multicenter Treatment Survey and Assessments for Schizophrenia in Psychiatric Clinics (MUSASI), was conducted in 330 psychiatric clinics in Japan between September and October 2023. A total of 10,081 patients diagnosed with schizophrenia-related disorders were analyzed. Patients were categorized as nonrelapsers, low-frequency relapsers (1–2 relapses), or high-frequency relapsers (≥3 relapses). Social functioning was assessed using the Social and Occupational Functioning Assessment Scale, with scores ≥61 defined as high functioning.
Results
This study included 3,670 nonrelapsers, 4,428 low-frequency relapsers, and 1,983 high-frequency relapsers. Overall, 55.8% (n = 5,631) of patients were classified as having high social functioning. Across all groups, employment, shorter periods of instability during the past year, lower Clinical Global Impression–Severity scores, and fewer negative symptoms were significantly associated with higher social functioning. Group-specific associations were also observed: in nonrelapsers and low-frequency relapsers, positive symptoms and medication-related factors were relevant, whereas in low- and high-frequency relapsers, marital history was associated, and in high-frequency relapsers, the absence of tardive dyskinesia emerged as a factor.
Conclusions
Factors associated with social functioning differed according to relapse frequency, highlighting the need for relapse frequency-based, stratified intervention strategies.
To investigate whether socioeconomic deprivation is associated with residual or recurrent cholesteatoma following primary mastoidectomy.
Methods
A retrospective cohort study included all patients undergoing primary mastoidectomy for cholesteatoma in National Health Service Tayside between 2012 and 2020. Socioeconomic status was assessed using the Scottish Index of Multiple Deprivation 2020 and divided into quintiles. Patients were stratified into paediatric (≤16 years) and adult (>16 years) groups. Recurrence/residual rates across Scottish Index of Multiple Deprivation quintiles were compared using Fisher’s exact tests, and time to recurrence was analysed using Kaplan–Meier survival curves.
Results
One hundred eighty-four patients were included (59 children, 125 adults). Recurrence/residual occurred in 39 per cent of children and 24 per cent of adults. In children, higher deprivation was significantly associated with risk of recurrence/residual disease (p = 0.0013). No significant association was observed in adults.
Conclusion
Socioeconomic deprivation is linked to higher recurrence/residual in children, highlighting disparities in postoperative outcomes and the importance of targeted follow-up.
Let $ ([0,1]^d,T,\mu ) $ be a measure-preserving dynamical system so that the correlations decay exponentially for Hölder continuous functions. Suppose that $ \mu $ is absolutely continuous with a density function $ h\in L^q(\mathcal L^d) $ for some $ q>1 $, where $ \mathcal L^d $ is the $ d $-dimensional Lebesgue measure. Under suitable conditions on the underlying dynamical system, we obtain a strong dynamical Borel–Cantelli lemma for recurrence: for any sequence $ \{R_n\} $ of hyperrectangles centered at the origin, with sides parallel to the axes and diameter going to $0$ as $n\to \infty $, where $ \mathbf {x}\in [0,1]^d $ and $ R_n+\mathbf {x} $ is the translation of $ R_n $. The result applies to the Gauss map, $\beta $-transformations, and expanding toral endomorphisms.
It is well known that any higher-order Markov chain can be associated with a first-order Markov chain. In this primarily expository article, we present the first fairly comprehensive analysis of the relationship between higher-order and first-order Markov chains, together with illustrative examples. Our main objective is to address the central question as posed in the title.
Chronic subdural hematoma (cSDH) is a prevalent neurosurgical condition, particularly in the elderly. In cases of surgical evacuation, there is conflicting evidence regarding the impact of early versus late mobilization on patient outcomes.
Method:
To understand the current state of the literature, we performed a comprehensive systematic review of studies comparing early and late mobilization protocols in cSDH patients following surgical evacuation. We conducted a supplementary meta-analysis to assess the effects of early versus late mobilization for recurrence and postoperative complication outcomes.
Results:
Of the 1295 identified articles, 4 studies comprising 622 patients were included. Early mobilization (EM) was typically defined as ambulation ≤ 48 hours post-surgery and late mobilization as bed rest for ≥48 hours or more, though definitions varied between studies. EM did not increase cSDH recurrence in any study. Two studies reported decreased medical complications in the EM group. Two studies suggested a shorter hospital stay with EM, and one study reported significantly better functional recovery on follow-up. A supplementary meta-analysis did not find any significant differences in recurrence or medical complications across studies.
Conclusion:
EM after cSDH surgery may reduce postoperative complications and potentially improve recovery without appearing to affect recurrence rates. However, data interpretation was limited by heterogeneous study designs, definitions of mobilization and outcome measures. Further multicenter trials with consistent protocols and outcome scales are warranted to further establish optimal mobilization strategies.
We investigate a specific class of irreducible, level-dependent, discrete-time, GI/M/1-type Markov chains. The transition matrices possess a block lower-Hessenberg structure, which shows asymptotic convergence along the rows as the level approaches infinity. Criteria are presented for recurrence, transience, positive recurrence, geometric ergodicity, and geometric transience in terms of elements of the transition matrices. These criteria are established by employing drift functions and matrix-generating functions. Furthermore, we discuss the extension of the main results to the continuous-time case.
Let $\{u_n\}_n$ be a nondegenerate linear recurrence sequence of integers with Binet’s formula given by ${u_n= \sum _{i=1}^{m} P_i(n)\alpha _i^n.}$ Assume $\max _i \vert \alpha _i \vert>1$. In 1977, Loxton and Van der Poorten conjectured that for any $\epsilon>0$, there is an effectively computable constant $C(\epsilon )$ such that if $ \vert u_n \vert < (\max _i\{ \vert \alpha _i \vert \})^{n(1-\epsilon )}$, then $n<C(\epsilon )$. Using results of Schmidt and Evertse, a complete noneffective (qualitative) proof of this conjecture was given by Fuchs and Heintze [‘On the growth of linear recurrences in function fields’, Bull. Aust. Math. Soc.104(1) (2021), 11–20] and, independently, by Karimov et al. [‘The power of positivity’, Proc. LICS23 (2023), 1–11]. In this paper, we give an effective upper bound for the number of solutions of the inequality $\vert u_n \vert < (\max _i\{ \vert \alpha _i \vert \})^{n(1-\epsilon )}$, thus extending several earlier results by Schmidt, Schlickewei and Van der Poorten.
The optimal duration for maintaining antidepressant treatment in individuals with obsessive-compulsive disorder (OCD) who achieve symptom stabilization remains unclear.
Methods
This systematic review and pairwise meta-analysis of double-blind randomized placebo-controlled trials (DBRPCTs) compared antidepressant maintenance and antidepressant discontinuation groups in terms of relapse rate at each DBRPCT study endpoint (primary outcome), OCD symptom improvement, all-cause discontinuation, and adverse event-related discontinuation. Furthermore, relapse rates at 4, 8, 12, 16, 20, and 24 weeks were compared between the groups. Risk ratios (RRs) with 95% confidence intervals (CIs) were calculated. The absolute risk reduction (ARR) and number needed to treat to benefit (NNTB) for relapse rates were also estimated.
Results
Nine trials (n = 1084; mean age: 32.8 years; proportion of males: 53.3%) were included. The antidepressant maintenance group had lower relapse rates at each DBRPCT study endpoint (RR [95% CI] = 0.53 [0.42–0.68]; ARR = 21.0%; NNTB = 5) and lower all-cause and adverse event-related discontinuation rates than the antidepressant discontinuation group. The maintenance group also exhibited lower relapse rates at 4 weeks (RR [95% CI] = 0.47 [0.31–0.70]; ARR: not significant; NNTB: not significant), 8 weeks (0.42 [0.31–0.57]; 12.0%; 8), 12 weeks (0.43 [0.32–0.56]; 18.0%; 6), 16 weeks (0.41 [0.32–0.52]; 25.0%; 4), 20 weeks (0.43 [0.34–0.53]; 26.0%; 4), and 24 weeks (0.42 [0.33–0.52]; 27.0%; 4) than the discontinuation group. Moreover, the maintenance group outperformed the discontinuation group regarding OCD symptom improvement.
Conclusions
Individuals with OCD may benefit from continued antidepressant treatment, provided that it is well tolerated.
This Element in Construction Grammar addresses one of its hottest topics and asks: is the unimodal conception of Construction Grammar as a model of linguistic knowledge at odds with the usage-based thesis and the multimodality of language use? Are constructions verbal, i.e. unimodal form-meaning pairings, or are they, or at least are some of them, multimodal in nature? And, more fundamentally, how do we know? These questions have been debated quite controversially over the past few years. This Element presents the current state of research within the field, paying special attention to the arguments that are put forward in favour and against the uni-/multimodal nature of constructions and the various case studies that have been conducted. Although significant progress has been made over the years, the debate points towards a need for a diversification of the questions asked, the data studied, and the methods used to analyse these data.
A partition is called a t-core if none of its hook lengths is a multiple of t. Let $a_t(n)$ denote the number of t-core partitions of n. Garvan, Kim and Stanton proved that for any $n\geq1$ and $m\geq1$, $a_t\big(t^mn-(t^2-1)/24\big)\equiv0\pmod{t^m}$, where $t\in\{5,7,11\}$. Let $A_{t,k}(n)$ denote the number of partition k-tuples of n with t-cores. Several scholars have been subsequently investigated congruence properties modulo high powers of 5 for $A_{5,k}(n)$ with $k\in\{2,3,4\}$. In this paper, by utilizing a recurrence related to the modular equation of fifth order, we establish dozens of congruence families modulo high powers of 5 satisfied by $A_{5,k}(n)$, where $4\leq k\leq25$. Moreover, we deduce an infinite family of internal congruences modulo high powers of 5 for $A_{5,4}(n)$. In particular, we generalize greatly a recent result on a congruence family modulo high powers of 5 enjoyed by $A_{5,4}(n)$, which was proved by Saikia, Sarma and Talukdar (Indian J. Pure Appl. Math., 2024). Finally, we conjecture that there exists a similar phenomenon for $A_{5,k}(n)$ with $k\geq26$.
We study continuous-time Markov chains on the nonnegative integers under mild regularity conditions (in particular, the set of jump vectors is finite and both forward and backward jumps are possible). Based on the so-called flux balance equation, we derive an iterative formula for calculating stationary measures. Specifically, a stationary measure $\pi(x)$ evaluated at $x\in\mathbb{N}_0$ is represented as a linear combination of a few generating terms, similarly to the characterization of a stationary measure of a birth–death process, where there is only one generating term, $\pi(0)$. The coefficients of the linear combination are recursively determined in terms of the transition rates of the Markov chain. For the class of Markov chains we consider, there is always at least one stationary measure (up to a scaling constant). We give various results pertaining to uniqueness and nonuniqueness of stationary measures, and show that the dimension of the linear space of signed invariant measures is at most the number of generating terms. A minimization problem is constructed in order to compute stationary measures numerically. Moreover, a heuristic linear approximation scheme is suggested for the same purpose by first approximating the generating terms. The correctness of the linear approximation scheme is justified in some special cases. Furthermore, a decomposition of the state space into different types of states (open and closed irreducible classes, and trapping, escaping and neutral states) is presented. Applications to stochastic reaction networks are well illustrated.
This chapter presents the current state of research in multimodal Construction Grammar with a focus on co-speech gestures. We trace the origins of the idea that constructions may have to be (re-)conceptualized as multimodal form–meaning pairs, deriving from the inherently multimodal nature of language use and the usage-based model, which attributes to language use a primordial role in language acquisition. The issue of whether constructions are actually multimodal is contested. We present two current positions in the field. The first one argues that a construction should only count as multimodal if gestures are mandatory parts of that construction. Other, more meaning-centered, approaches rely less on obligatoriness and frequency of gestural (co-)occurrences and either depart from a recurrent gesture to explore the verbal constructions it combines with or focus on a given meaning, for example, negation, and explore its multimodal conceptualization in discourse. The chapter concludes with a plea for more case studies and for the need to develop large-scale annotated corpora and apply statistical methods beyond measuring mere frequency of co-occurrence.
This article explores the notions of $\mathcal {F}$-transitivity and topological $\mathcal {F}$-recurrence for backward shift operators on weighted $\ell ^p$-spaces and $c_0$-spaces on directed trees, where $\mathcal {F}$ represents a Furstenberg family of subsets of $\mathbb {N}_0$. In particular, we establish the equivalence between recurrence and hypercyclicity of these operators on unrooted directed trees. For rooted directed trees, a backward shift operator is hypercyclic if and only if it possesses an orbit of a bounded subset that is weakly dense.
Late-life depression (LLD) is characterized by repeated recurrent depressive episodes even with maintenance treatment. It is unclear what clinical and cognitive phenotypic characteristics present during remission predict future recurrence.
Methods:
Participants (135 with remitted LLD and 69 comparison subjects across three institutions) completed baseline phenotyping, including psychiatric, medical, and social history, psychiatric symptom and personality trait assessment, and neuropsychological testing. Participants were clinically assessed every two months for two years while receiving standard antidepressant treatment. Analyses examined group differences in phenotypic measure using general linear models. Concurrent associations between phenotypic measures and diagnostic groups were examined using LASSO logistic regression.
Results:
Sixty (44%) LLD participants experienced a relapse over the two-year period. Numerous phenotypic measures across all domains differed between remitted LLD and comparison participants. Only residual depressive symptom severity, rumination, medical comorbidity, and executive dysfunction significantly predicted LLD classification. Fewer measures differed between relapsing and sustained remission LLD subgroups, with the relapsing group exhibiting greater antidepressant treatment intensity, greater fatigue, rumination, and disability, higher systolic blood pressure, greater life stress and lower instrumental social support. Relapsing group classification was informed by antidepressant treatment intensity, lower instrumental social support, and greater life stress.
Conclusions:
A wide range of phenotypic factors differed between remitted LLD and comparison groups. Fewer measures differed between relapsing and sustained remission LLD subgroups, with less social support and greater stress informing vulnerability to subsequent relapse. This research suggests potential targets for relapse prevention and emphasizes the need for clinically translatable relapse biomarkers to inform care.
The aim of this study was to evaluate the rate of dysplasia and carcinoma-ex-papillomatosis in patients with recurrent respiratory papillomatosis and assess for any risk factors.
Methods
A 15-year retrospective observational cohort study was performed from a single centre. Data on patient demographics, treatment history and pathology results were extracted from clinical records.
Results
Of the 123 patients identified, nine had juvenile-onset recurrent respiratory papillomatosis and 114 had adult-onset recurrent respiratory papillomatosis. Thirteen (11 per cent) of patients with adult-onset recurrent respiratory papillomatosis had dysplasia, and one patient progressed to carcinoma-ex-papillomatosis. Patients with evidence of dysplasia had an average older age of disease onset compared to those without dysplasia (49 years vs 39 years, p = 0.03).
Conclusion
An older age of recurrent respiratory papillomatosis onset was the only risk factor for dysplasia. Gender, tobacco use, subglottic or tracheal involvement, number of surgeries and cidofovir were not prognostic factors in this series.